Question

The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. What is the area of the base of the pillar in square centimeters?

Answer 1

Given:
V = 324 cu cm
h = 9 cm

Since the formula for the volume of a cylinder is V = AreaBase*height

AreaBase = V/height = 324cu cm/ 9 cm
AreaBase = 113.04 square centimetres

Therefore, the area of the pillar in square centimeters is 113.04.

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Answer 2

The area of the base of the pillar in square centimeters is 36π square cm

Volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where

r is the radius

h is the height

Given the following parameters

V = 324π cm³

h = 9cm

Determine the radius of the cylinder

324π = πr²(9)

πr² = 324π/9

Area of the base = 36π square cm

Hence the area of the base of the pillar in square centimeters is 36π square cm

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