Description : Frame the formula for the volume (v) of a cylinder given by the product of `pi`, square of radius (r) and height (h).
Last Answer : Frame the formula for the volume (v) of a cylinder given by the product of `pi`, square of radius (r) and height (h).
Description : if seve times the curved surface area (A) of a cylinder is equal to 44 times the proudct of base radius (r) and height (h) then what si the formula wi
Last Answer : if seve times the curved surface area (A) of a cylinder is equal to 44 times the proudct of base ... (h) then what si the formula with subject A?
Description : Frame the formula for the volume (v) of a hemisphere given by two-thirds o the product of `pi` and cube of radius (r).
Last Answer : Frame the formula for the volume (v) of a hemisphere given by two-thirds o the product of `pi` and cube of radius (r).
Description : If three cylinders of radius r and height h are placed vertically such that the curved surface of each cylinder touches the curved surfaces -Maths 9th
Last Answer : hr2 (3-√−π2)(3−π2) The bases of the three cylinders when placed as given are as shown in the figure : Let the radius of the base of each cylinder = r cm. We are required to find the volume of air. ... ∠C = 60º) = 3 x 60o360o πr2=πr2260o360o πr2=πr22 ∴ Required volume = (3-√r2−π2r2)h=(3-√−π2)r2h.
Description : A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.11531/cylinder-radius-halved-and-height-doubled-then-find-volume-with-respect-original-volume -Maths 9th
Last Answer : since curved surface of half of the spherical ball = 56.57 cm2 ∴ 2πr2 = 56.57 ⇒ r2 = 56.57 / 2 × 3.14 = 9 ⇒ r = 3 cm Now, volume of spherical ball = 4 / 3 πr3 = 4 / 3 × 3.14 × 3 × 3 × 3 = 113.04 cm3
Description : If the back fill is having a uniform surcharge of intensity per unit area, the lateral pressure will be (A) q times the lateral pressure within the surface (B) 1/q times the lateral pressure within the surface ... of height Z equal to q/r, where r is the density of the backfill (D) None of these
Last Answer : Answer: Option C
Description : A wire of length a units is cut into two equal pieces and make a circle of radius r with one piece. Frame the formula by making r the subject.
Last Answer : A wire of length a units is cut into two equal pieces and make a circle of radius r with one piece. Frame the formula by making r the subject.
Description : A right circular cylinder and a right circular cone have equal bases and equal volumes. But the lateral surface area of the right circular cone is -Maths 9th
Last Answer : answer:
Description : If in a cylinder, radius is doubled and height is halved, then find its curved surface area. -Maths 9th
Last Answer : Let r and h be radius and height of the cyclinder, then C.S.A. = 2πrh Now, radius is doubled and height is halved. ∴ New radius = 2r and new height = h / 2 New C.S.A. = 2π × 2r × h / 2 = 2πrh .
Description : In a cylinder, radius is doubled and height is halved, then curved surface area will be -Maths 9th
Last Answer : The curved surface area will remain same. So, there is no change in the curved surface area of cylinder . Hence the curved surface area will remain same.
Description : A problem Drum ( 3 ft. diameter ; 6 ft. height ) is field with a fluid whose density is 50 lb/ft^3. Determine the total volume of the fluid. A. 42.41 ft^3 B.44.35 ft^3 C.45.63 ft^3 D.41.23 ft^3 Formula: Vf = (pi d^2 h) / 4
Last Answer : 42.41 ft^3
Description : A right circular cylinder just encloses a sphere of radius r (see fig. 13.22). Find (i) surface area of the sphere, (ii) curved surface area of the cylinder -Maths 9th
Last Answer : Surface area of sphere = 4πr2, where r is the radius of sphere (ii) Height of cylinder, h = r+r =2r Radius of cylinder = r CSA of cylinder formula = 2πrh = 2πr(2r) (using value of h) = 4πr2 (iii) Ratio ... sphere)/CSA of Cylinder) = 4r2/4r2 = 1/1 Ratio of the areas obtained in (i) and (ii) is 1:1.
Description : if the slant height (l) of a cone is equal to the square root of the sum of the squares of radius (r) and height (h) then,
Last Answer : if the slant height (l) of a cone is equal to the square root of the sum of the squares of radius (r) and height (h) ... (2))` D. `r^(2)-h^(2)=l^(2)`.
Description : Weight of a person at a height of 2R from the centre of the earth, where R is the radius of the earth- (1) remains same (2) becomes half (3) becomes twice (4) becomes one-fourth
Last Answer : (4) becomes one-fourth Explanation: The gravitational force is proportional to 1/R2, where R is the distance from the centre of the Earth. So at a height of 2R from the centre of the earth, the corresponding weight would be one-fourth of the original weight.
Description : A thick cylinder under pi and po will have maximum stress at the 1. Outer radius 2. Inner radius 3. Mean radius 4. None
Last Answer : 2. Inner radius
Description : A thick cylinder under internal fluid pressure’ pi will have maximum stress at the 1. Outer radius 2. Inner radius 3. Mean radius 4. None
Description : In case of laminar flow of fluid through a circular pipe, the (A) Shear stress over the cross-section is proportional to the distance from the surface of the pipe (B) Surface of velocity distribution is a ... occurs at a radial distance of 0.5 r from the centre of the pipe (r = pipe radius)
Last Answer : (B) Surface of velocity distribution is a paraboloid of revolution, whose volume equals half the volume of circumscribing cylinder
Description : The total surface area of a cone whose radius is r/2 and slant height 2l is -Maths 9th
Last Answer : Total surface area of cone = πr(r+l) Given, radius = r/2 and slant height = 2l Therefore, new total surface area of cone = πr/2(r/2+2l) = π(r/4^2+rl) = πr(l+r/4)
Last Answer : Radius (r)=r/2 & slant height=2l TSA (S)=PIE R (l+r) =22/7×r/2(2l+r/2) =11/7×r(2l+r/2)
Description : If the lateral surface of a cylinder is 94.2 -Maths 9th
Last Answer : Height of the cylinder (h) = 5 cm Let r сm be the radius of the base Lateral surface area of cylinder = 94.2 cm2 ⇒ 2 πrh = 94.2 cm2 2 x 3.14 x r x 5 = 94.2 ⇒ r = 94.2/2 x 3.14 x 5 = 94.2 ... Thus, radius of the base of cylinder = 3 cm. (ii) Volume of cylinder = πr2h = 3.14 x 32 x 5 = 141.3 cm3
Description : Find the lateral surface area and total surface area of a cuboid of length 80 cm, breadth 40 cm and height 20 cm. -Maths 9th
Last Answer : Length of cuboid (l) = 80 cm Breadth (b) = 40 cm Height (h) = 20 cm (i) ∴ Lateral surface area = 2h(l + b) = 2 x 20(80 + 40) cm² = 40 x 120 = 4800 cm² (ii) Total surface area = 2(lb ... x 40 + 40 x 20 + 20 x 80) cm² = 2(3200 + 800 + 1600) cm² = 5600 x 2 = 11200 cm²
Description : How far away from the surface of the Earth does the acceleration due to gravity become ½ of its value at the surface of Earth? It is at a (a) Distance equal to radius (b) Distance equal to half the radius (c) Distance equal to twice the radius (d) Distance equal to 0.414 times the radius
Last Answer : Ans:(d)
Description : Frame the formula: sum of the products of p,x and q,y is equal to r.
Last Answer : Frame the formula: sum of the products of p,x and q,y is equal to r. A. py+qx=r B. px-qy=r C. px+qy=r D. px+qy+r=0
Description : A cylindrical rod of iron whose height is eight times its radius is melted and cast into spherical balls each of half the radius of the cylinder. -Maths 9th
Last Answer : Let radius of iron rod = r ∴∴ Height = 8r ∴∴ Volume of iron rod =π×(r)2×8r⇒8πr3=π×(r)2×8r⇒8πr3 ⇒⇒ Radius of spherical ball =r2=r2 Volume of spherical ball =43π(r2)3=43π(r2)3 Let n balls are casted ∴n×43π(r38)=8πr3∴n×43π(r38)=8πr3 ⇒n6=8⇒n=48
Description : A sphere, a cylinder and a cone respectively are of the same radius and same height. Find the ratio of their curved surfaces. -Maths 9th
Description : A cylindrical rod of iron whose radius is one-fourth of its height is melted and cast into spherical balls of the same radius as that of the cylinder. -Maths 9th
Last Answer : Let radius of cylindrical rod =r ⇒ height =4r Volume of cylindrical rod =πr2h =πr2(4r) =4πr3 Volume of spherical balls of radius r=34πr3 No. of balls =34πr34πr3=
Description : A solid right circular cylinder of radius 8 cm and height 2 cm is melted and cast into a right circular cone of height 3 times that of the cylinder. -Maths 9th
Last Answer : Height of cone = 3 times height of cylinder = 3 3 = 9 cm Volume of cylinder = volume of cone r2 = 8 8 r = 8 cm l2 = h2 + r2 = (9)2 + (8)2 l = = 12 cm C.S.A (cone) = = 301.71 cm2
Description : Find the height of a cylinder with the volume of 452.16 and a radius of 4 in?
Last Answer : V=πr^2hh = V/(πr^2)h = 452.16/(π*4^2)h = 8.99 in
Description : How do you find radius of a cylinder if the volume is 2355 and the height is 10?
Last Answer : Area of base of cylinder 2355/10 = 235.5 square unitsRadius is the square root of (235.5/pi) = 8.658 units rounded to3 decimal places
Description : What is the volume of a cylinder that has a radius of 4 centimeters and a height of 40 centimeters?
Last Answer : Volume of cylinder: pi*16*40 = 2010.619 cubic cm to threedecimal places
Description : The radius and height of a right circular cylinder are 42 cm & 63 cm respectively. Find its volume. a) 237564 cm3 b) 349272 cm3 c) 379252 cm3 d) 453213 cm3
Last Answer : Answer: B
Description : What is The surface area of a sphere can be approximated as follows Surface area 4πr2 where r is the radius of the sphere π is a constant that is roughly equal to 3. Using the simple approximat?
Last Answer : 300 m^2
Description : The height which the weight of a body becomes 1/16th, its weight on the surface of earth (radius R) is (1) 4 R (2) 5 R (3) 15 R (4) 3 R
Last Answer : (4) 3 R
Description : The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder. (Assume π =22/7 ) -Maths 9th
Last Answer : Height of cylinder, h = 14cm Let the diameter of the cylinder be d Curved surface area of cylinder = 88 cm2 We know that, formula to find Curved surface area of cylinder is 2πrh. So 2πrh =88 cm2 (r is the ... 88 cm2 2r = 2 cm d =2 cm Therefore, the diameter of the base of the cylinder is 2 cm.
Description : If the ratio of curved surface area and total surface area of a cylinder is 1 : 3, then find the volume of cylinder when the height is 2 cm. -Maths 9th
Last Answer : Let the radius and height of the cylinder be r and h, respectively . Given that, Curved surface area / Total surface area = 1/3 ⇒ 2πrh / 2πr(h + r) = 1/3 ⇒ 3h = h + r ⇒ r = 2h = 4cm ∴ volume of cylinder πr2h = π × (4)2 × 2 = 32π cm3
Description : The magnitude of the volume of a closed right circular cylinder of unit height divided by the magnitude of the total surface area of the -Maths 9th
Description : If S denotes the area of the curved surface of a right circular cone of height h end semi-vertical angle a, then S equals -Maths 9th
Description : Frame the formula: final velocity (v) of a body in linear motion is equal to the sum of its initial velocity (u) and the product of acceleration (a) a
Last Answer : Frame the formula: final velocity (v) of a body in linear motion is equal to the sum of its initial velocity (u) and ... v=u-at C. v=u+at D. v=-u-at
Description : Show that acceleration due to gravity at height h above the Earth’s surface is gh = g(R/R + h)^2
Last Answer : Show that acceleration due to gravity at height h above the Earth’s surface is gh = g \(\left(\frac{R}{R + h}\right)^2\) gh = g(R/R + h)2
Description : In Fig., a right circular cylinder just encloses a sphere of radius r. Find -Maths 9th
Last Answer : (i) Surface areas S1 of the sphere = 4 πr2 (ii) We have Radius of the cylinder = r Height of the cylinder = h = 2r ∴ Curved surface area S2 of the cylinder ... 2 πrh = 2 πr x 2r = 4 πr2 (iii) S1/S2 = 4 πr2/4 πr2 = 1/1 ∴ S1 : S2 = 1 : 1
Description : The centre of percussion of a solid cylinder of radius r resting on a horizontal plane will be (A) r/2 (B) 2r/3 (C) r/A (D) 3r/2
Last Answer : (D) 3r/2
Description : Frame the formula for the area (A) of a quadrilateral given by half the product of its diagonal (d) and sum of offsets drawn to the diagonal from its
Last Answer : Frame the formula for the area (A) of a quadrilateral given by half the product of its diagonal (d) and ... its opposite vertices `(h_(1) and h_(2))`?
Description : Two concentric coils each of radius equal to `2 pi cm` are placed at right angles to each other ` 3 ampere and 4 ampere` are the currents flowing in e
Last Answer : Two concentric coils each of radius equal to `2 pi cm` are placed at right angles to each other ` 3 ampere and 4 ... ` C. `7xx10^(-5)` D. `10^(-5)`
Description : A is the area of a circle with radius r units. Write the formula of area, making r as the subject.
Last Answer : A is the area of a circle with radius r units. Write the formula of area, making r as the subject.
Description : State the formula for acceleration due to gravity at depth ‘d’ and altitude ‘h’ Hence show that their ratio is equal to ((R - d)/(R - 2h))
Last Answer : State the formula for acceleration due to gravity at depth d' and altitude h' Hence show that ... small as compared to the radius of the Earth.
Description : Find the flux density of line charge of radius (cylinder is the Gaussian surface) 2m and charge density is 3.14 units? a) 1 b) 0.75 c) 0.5 d) 0.25
Last Answer : d) 0.25