Home » Aptitude » Volume and Surface Area

The volume of a sphere is 38808 cu. cm. The curved surface area of the sphere is?

Q: The volume of a sphere is 38808 cu. cm. The curved surface area of the sphere is?

∵ 4/3 x 22/7 x r3 = 38808 ⇒ r3 = (38808 x 7/22 x 3/4) = (21)3 ∴ r = 21 cm So, curved surface area of sphere = 4πr2 = (4 x 22/7 x 21x21) cm2 = 5544 cm2

5544 sq. cm
1386 sq. cm
8316 sq. cm
4158 sq. cm

Correct Answer: 5544 sq. cm

Explanation:

∵ 4/3 x 22/7 x r³ = 38808
⇒ r³ = (38808 x 7/22 x 3/4)
= (21)³
∴ r = 21 cm
So, curved surface area of sphere
= 4πr²
= (4 x 22/7 x 21x21) cm²
= 5544 cm²

← Previous Question Next Question→

More Questions from Volume and Surface Area

A right cylindrical vessel is full with water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water?
A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is?
A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by?
The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is?
A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of iron used is?
The number of solid spheres each of diameter 6 cm that could be moulded to form a solid metal cylinder 4 cm, is?
The length of the wire of 0.2 mm radius that can be drawn after melting a solid copper sphere of diameter 18 cm, is?
The height of cylinder is 14 cm and its curved surface area is 264 sq. cm. The volume of the cylinder is?
The percentage increased in the surface area of a cube when each side is doubled, is?
If the radius of a sphere is doubled, then its surface area is increased by?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion