Surface Area of Sphere

Q.

Q.

Find the volume of a sphere whose radius is

(i) 7 cm (ii) 0.63 m

Q.

What is the diameter (in cm) of a sphere whose surface area is 616${\text{cm}}^2$?

1. 28

2. 21

3. 7

4. 14

Q. If the surface are of a sphere is 2826sq cm, then find its volume

Q. Calculate the surface area of a sphere who's volume is 485cm

Q. Assuming the earth to be a sphere of radius 6370 km, how many square kilometres is area of the land, if three-fourth of the earths surface is covered by water?

Q. The volume of a sphere of radius 2r is
(a) $\frac{32{\mathrm{\pi r}}^3}{3}$
(b) $\frac{16{\mathrm{\pi r}}^3}{3}$
(c) $\frac{8{\mathrm{\pi r}}^3}{3}$
(d) $\frac{64{\mathrm{\pi r}}^3}{3}$

Q. If the surface area of a sphere is 144π m², then its volume (in m³) is

(a) 288 π

(b) 316 π

(c) 300 π

(d) 188 π

Q. If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is

(a) 1 : 2

(b) 1 : 4

(c) 1 : 8

(d) 1 : 16

Q. Find the surface area(in sq cm) of spheres of radii 3.5 cm.

1. 3052.08
2. 153.86
3. 255
4. 145.58

Q. The surface area of a sphere of radius 14 cms is

Q. The volume of a sphere is 38808 cm³. Its curved surface area is
(a) 5544 cm²
(b) 8316 cm²
(c) 4158 cm²
(d) 1386 cm²

Q. A sphere is cut into two equal halves and both the halves are painted from all the sides. The radius of the sphere is r units and the rate of painting is Rs 8 per sq. unit. What is the total cost of painting the two halves of the sphere in rupees?

1. 6πr²
2. 4πr²
3. 48πr²
4. 32πr²

Q. The surface area of a sphere is 394.24 cm². Find its radius and volume.

Q. The surface area of a sphere of radius 21 cm is
(a) 2772 cm²
(b) 1386 cm²
(c) 4158 cm²
(d) 5544 cm²

Q. If the volumes of two cones be in the ratio 1 : 4 and the radii of their bases be in the ratio 4 : 5, then the ratio of their heights is
(a) 1 : 5
(b) 5 : 4
(c) 25 : 16
(d) 25 : 64

Q.

A water tank has two faces congruent isosceles trapeziums and the other faces rectangles. Its dimensions are as shown below:

What would be the cost of painting its inside and out at the rate of 75 rupees per square metre?

Q. The volumes of the two spheres are in the ratio 64 : 27 and the sum of their radii is 7 cm. The difference of their total surface areas is
(a) 38 cm²
(b) 58 cm²
(c) 78 cm²
(d) 88 cm²

Q.

What is the surface area of a sphere?

1. 4$\pi$$r^2$

2. 2$\pi$$r^2$

3. $\frac{4}{3}$$\pi$$r^2$

4. $\frac{2}{3}$$\pi$$r^2$

Q. Find the total surface area (in sq. cm) of a sphere of radius 4 cm.

1. 1408/7
2. 1506/7
3. 1655/7
4. 1208/7

Q.

In a circus, a motorcyclist performs his stunts inside a hollow sphere. The thickness of the sphere is negligible. If the diameter of the hollow sphere is 14 m, then find the area available for the motorcyclist to perform his stunts.
$(use\pi =\frac{22}{7})$

1. 516 $m^2$

2. 616 $m^2$

3. 586 $m^2$

4. 486 $m^2$

Q. Consider a sphere and a circle of the same radius.
What is the ratio of the total surface area of the sphere to the area of the circle?

1. 4 : 1
2. 1 : 4
3. 1 : 2
4. 2 : 1

Q. CSA of a sphere of radius 'r' is $4\pi r^2$.

1. False
2. True

Q. CSA of a sphere of radius 'r' is $4\pi r^2$.

1. False
2. True

Q. If the surface area of a sphere is (144π) m², then its volume is
(a) (288π) m³
(b) (188π) m³
(c) (300π) m³
(d) (316π) m³

Q. If a circle and a sphere have the same radius, then CSA of sphere is times the area of the circle.

1. 4
2. 3
3. 2

Q. If CSA of a sphere is 154 $c{m}^2$, then its radius is cm.

1. 7
2. 4.5
3. 3.5

Q. The surface area of a sphere is 5544 cm². Find its volume.

Q.

find the volume of sphere whose surface area is 154 cm square

Q. The surface areas of two spheres are in the ratio 1 : 4. Find the ratio of their volumes.