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 : Find the surface area of a sphere of radius: (i) 10.5cm (ii) 5.6cm (iii) 14cm -Maths 9th
Last Answer : Formula: Surface area of sphere (SA) = 4πr2 (i) Radius of sphere, r = 10.5 cm SA = 4 (22/7) 10.52 = 1386 Surface area of sphere is 1386 cm2 (ii) Radius of sphere, r = 5.6cm Using formula, SA = 4 (22 ... 75 cm Surface area of sphere = 4πr2 = 4 (22/7) 1.752 = 38.5 Surface area of a sphere is 38.5 cm2
Description : If the volume of a sphere is numerically equal to its surface area, then find the diameter of the sphere. -Maths 9th
Last Answer : Let r be the radius of the sphere. and Volume of a sphere = surface area of the sphere ⇒ 4 / 3πr3 = 4πr2 ⇒ r = 3 cm ∴ Diameter of the sphere = 2r = 2 × 3 = 6 cm
Description : Find the ratio of surface area and volume of the sphere of unit radius. -Maths 9th
Last Answer : Required ratio = 4πr2 / 4/3.πr3 = 3 x 4 x π x (1)2 / 4 x π x (1)3 = 3/1 (Since, r = 1) i.e., 3 : 1
Description : Find the radius of a sphere whose surface area is 154 cm square. -Maths 9th
Last Answer : Let 'r' be the radius of sphere Surface area of sphere = 4 πr2 ⇒ 154 = 4 πr2 ⇒ 154 = 4 x 22/7 x r2 ⇒ r 2 = 154 x 7/4 x 22 = 49/4 ⇒ r = 7/2 cm = 3.5 cm
Description : Find the volume of a sphere whose surface area is 154 cm sq. -Maths 9th
Last Answer : Let r cm be the radius of sphere. Surface area of the sphere = 4 πr2 ⇒ 154 = 4 πr2 ⇒ 4 x 22/7 x r2 = 154 r 2 = 154 x 7/4 x 22 = 72/22 ⇒ r = 7/2 Volume of sphere = 4/3 πr3 = 4/3 x 22/7 x 7/2 x 7/2 x 7/2 cm3 = 539/3 cm3 = 179.2/3 cm3
Description : The surface area of a sphere of radius 5 cm -Maths 9th
Last Answer : Radius of the sphere (r1) = 5 cm Radius of the base of cone (r2) = 4 cm Let r сm be the height of the cone. Surface area of sphere = 4 πr2 ⇒ 4 π(5)2 = 100 π cm2 Curved surface area of cone = πrl = 4 πl ... ∴ Volume of cone = 1/3 πr2h = 1/3 x 22/7 x 42 x 3 = 352/7 cm3 = 50.29 cm3 (Approximately)
Description : A sphere and a cube have the same surface area. What is the ratio of the square of volume of the sphere to the square of volume of the cube ? -Maths 9th
Last Answer : answer:
Description : A square has its side equal to the radius of the sphere. The square revolves round a side to generate a surface of total area S. -Maths 9th
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 : What is the surface area of a sphere 12meters in diameter?
Last Answer : Surface area of sphere: 4*pi*6 squared = 452.389 square metersrounded to 3 decimal places
Description : What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?
Last Answer : The ratio appears to be 588 to 1372 or 3 to 7 in its simplest form
Description : What is the surface area of a sphere with a 3 cm radius?
Last Answer : What is the surface area of a sphere with a 3 cm radius?
Description : A drop of liquid assumes spherical shape because: (1) Intermolecular forces are strong in liquids (2) A sphere has the least surface area for a given volume (3) A sphere has the largest surface area for a given volume (4) Inter molecular forces are weak in liquids
Last Answer : (2) A sphere has the least surface area for a given volume Explanation: A drop of liquid assumes spherical shape because a sphere has the least surface area for a given volume.
Description : For a non-spherical particle, the sphericity (A) Is defined as the ratio of surface area of a sphere having the same volume as the particle to the actual surface area of the particle (B) Has ... of volume of a sphere having the same surface area as the particle to the actual volume of the particle
Last Answer : (A) Is defined as the ratio of surface area of a sphere having the same volume as the particle to the actual surface area of the particle
Description : Sphericity is the ratio of the surface area of a spherical particle having the same volume as the particle to the surface area of the particle. Which of the following has the maximum value of sphericity? (A) Sphere (B) Cube (C) Cylinder (L/D = 1) (D) Raschig rings
Last Answer : (A) Sphere
Last Answer : A sphere has the least surface area for a given volume
Description : If a solid sphere rolls on a horizontal surface, then the ratio of its rotational kinetic energy to its total kinetic energy is a.1 ; 7 b.3 ; 7 c.107 dynes d.4 ; 7 e.2 ; 7
Last Answer : e. 2 ; 7
Description : The outer curved surface areas of the hemisphere and sphere are in ratio 2:9. find their ratio of their raddii -Maths 9th
Last Answer : This answer was deleted by our moderators...
Description : A sphere and a cone have equal bases. If their heights are also equal, the ratio of their curved surface will be : -Maths 9th
Description : There is an error of `0.2%` in measurment of the redius of a sphere. Find the percentage error in its (i) volume, (ii) surface.
Last Answer : There is an error of `0.2%` in measurment of the redius of a sphere. Find the percentage error in its (i) volume, (ii) surface.
Description : The radius of a sphere decreases from 10 cm to `9.9` cm. Find (i) approximate decrease in its volume. (ii) approximate decrease in its surface.
Last Answer : The radius of a sphere decreases from 10 cm to `9.9` cm. Find (i) approximate decrease in its volume. (ii) approximate decrease in its surface.
Description : Fig shows a small air bubble inside a glass sphere `(mu = 1.5)` of radius 10 cm. the bubble is 4.0 cm below the surface and is viewed normally from th
Last Answer : Fig shows a small air bubble inside a glass sphere `(mu = 1.5)` of radius 10 cm. the ... from the outside. Find the apparent depth of the bubble.
Description : An object is placed `50 cm` from the surface of a glass sphere of radius `10 cm` along the diameter. Where will the final image be formed after refrac
Last Answer : An object is placed `50 cm` from the surface of a glass sphere of radius `10 cm` along the diameter. ... both the surfaces ? `mu` of glass `=1.5`.
Description : A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the diameter of the sphere is `10 cm` and refra
Last Answer : A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the ... `1.5`, find the position of the image.
Description : The sphere of living matter together with water, air and soil on the surface of the earth is known as – (1) Lithosphere (2) Biosphere (3) Hydrosphere (4) Atmosphere
Last Answer : (2) Biosphere Explanation: Part of the Earth's surface and atmosphere that contains the entire terrestrial ecosystem, and extends from ocean depths to about six kilometers above sea level. Not ... supports them soil, subsurface water, bodies of water, air and includes hydrosphere and lithosphere.
Description : . Equivalent diameter of a particle is the diameter of the sphere having the same (A) Ratio of surface to volume as the actual volume (B) Ratio of volume to surface as the particle (C) Volume as the particle (D) None of these
Last Answer : (A) Ratio of surface to volume as the actual volume
Description : The Gaussian surface for a point charge will be a) Cube b) Cylinder c) Sphere d) Cuboid
Last Answer : c) Sphere
Description : The Gaussian surface for a line charge will be a) Sphere b) Cylinder c) Cube d) Cuboid
Last Answer : b) Cylinder
Description : The divergence theorem for a surface consisting of a sphere is computed in which coordinate system? a) Cartesian b) Cylindrical c) Spherical d) Depends on the function
Last Answer : d) Depends on the function
Description : Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x 2 + y 2 + z 2 = 9. a) 120π b) 180π c) 240π d) 300π
Last Answer : b) 180π
Description : A metallic hallow sphere of 8cm diameter is charged with 4 × 10−8c. The potential on its surface will be: (a) 90 volts (b) 9 volts (c) 9000 volts (d) 900 volts
Last Answer : c) 9000 volts
Description : Ten coulombs of charge are placed on a solid copper sphere. Once the charge has come to rest, the ELECTRIC POTENTIAL inside the sphere is found to be: w) zero x) uniform inside the sphere and ... the sphere y) smaller than the electric potential outside the sphere z) varying as one over r squared
Last Answer : ANSWER: X -- UNIFORM INSIDE THE SPHERE AND EQUAL TO THE ELECTRIC POTENTIAL ON THE SURFACE OF THE SPHERE
Description : A hollow METALLIC sphere has an inner radius A and an outer radius B. If charge is placed on the inner surface, that is at radius A, where is the charge located after it has come to rest?
Last Answer : ANSWER: ON THE SPHERE'S OUTER SURFACE or OUTSIDE RADIUS B
Description : Five coulombs of charge are placed on a thin-walled conducting shell. Once the charge has come to rest, the electric potential inside the hollow conducting shell is found to be: w) zero x) uniform ... sphere y) smaller than the electric potential outside the sphere z) varying as one over r squared.
Last Answer : ANSWER: X -- UNIFORM INSIDE THE SPHERE AND EQUAL TO THE ELECTRIC OTENT
Description : The sphere of living matter together with water, air and soil on the surface of the earth is known as (1) Lithosphere (2) Biosphere (3) Hydrosphere (4) Atmosphere
Last Answer : Biosphere
Description : Nidhi has to find the area of a sphere whose diameter was 14 cm. -Maths 9th
Last Answer : Area is two-dimensional while 4 πr represents a length.
Description : i. What is the area of central sphere? ii. What is the absolute error in reading of diameter of second sphere?
Last Answer : A factory owner kept five identical spheres between two wooden blocks on a ruler as shown in ... error in reading of diameter of second sphere?
Description : The area of sphere can be computed from the sphere volume. State True/False. a) True b) False
Last Answer : a) True
Description : Which one of the following statements is correct? (A) (B) The cone subtended by an area on the sphere at the centre, is called the solid angle (C) The solid angle is equal to the ratio of the area on the sphere and the square of the radius of the sphere (D) All of these
Last Answer : Answer: Option D
Description : The whole surface area of a rectangular block is 1300 cm2. Find its volume, if their dimensions are in the ratio of 4 : 3 : 2. -Maths 9th
Last Answer : Let the length, breadth and height of the rectangular box be 4x, 3x and 2x, respectively. ∵ Total surface area = 1300 cm2 2(4x × 3x + 3x × 2x + 4x × 2x) = 1300 52x2 =1300x2 = 25x = 5 ∴ Volume of rectangular box = 4x × 3x × 2x = 24(5)2 = 3000 cm3
Description : A hemispherical bowl has its external diameter equal to 10 cm and its thickness is 1 cm. What is the whole surface area of the bowl ? -Maths 9th
Last Answer : External radius of hemispherical bowl = 5 cm Internal radius of the bowl = (5 – 1) cm = 4 cm Surface area of external portion = 2π(5)2 = 50 p sq. cm Surface area of internal portion = 2π(4)2 = ... = 91π sq. cm = (91×227)(91×227) sq. cm = 13 × 22 sq. cm = 286 cm2