Question

The volume of a cylinder whose height is 42 cm and area of base is 77 cm² is______cubic cm.​

Answer 1

Answer:

Pata nibhen bhwn bhwn

Answer 2

Given,

The height of the cylinder is 42 centimetres.

Area of the base of the cylinder = 77 cm²

To find,

The volume of the given cylinder.

Solution,

Let, the radius of the base = r cm

[ Assume, r as a variable to do the further mathematical calculations.]

Area of the base = πr² cm²

Now, if we compare the two values of the area of the base, then we will get the following mathematical equation,

π × r² = 77

r² = 77 × 7/22

r² = 7×7/2

r² = 49/2

Volume = π × r² × height = 22/7 × 49/2 × 42 = 22 × 7 × 21 = 3234 cm³

Hence, the volume of the cylinder is 3234 cm².