Question

The perimeter of the base of a right circular cylinder is 44cm and its height is

10cm then its volume is

A. 490 π cm3 B. 440 π cm3

C. 374 π cm3 D. 980 π cm3​

Answer 1

Step-by-step explanation:

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Answer 2

The correct answer is option (a) 490 π cm³.

Given,

The perimeter of the base of the right circular cylinder = 44 cm

Height of the cone = 10 cm

To Find,

The volume of the cylinder.

Solution,

The formula for calculating the base of a cylinder is

Perimeter of base = 2*π*r = 44

2*22/7*r = 44

r = 7 cm

Now,

The formula for Volume of the cylinder = πr²h

So,

The volume of the cylinder = π(7)²10

The volume of the cylinder = 490 π cm³

Hence, the volume of the cylinder is 490 π cm³.