Question

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

Answer 1

The volume of a cylinder is written as V = πr²h. The volume is 324π cm³ and the height is 9 cm. Evaluating it, we will arrive at the value of radius as 6 cm. Area of the base can be obtained using the formula A = πr². If r = 6cm, area of the base will be 36π cm

Answer 2

The base area of the cylindrical pillar is 113.04 cm²

Volume of a cylinder

• v = πr²h

where

r = radius

h = height

Therefore,

v = 324π cm³

h = 9cm

Let's find the radius

324π = 9πr²

r² = 324π  /9π

r² = 36

r = √36

r = 6 cm

Base area of the pillar = πr²

Base area of the pillar = 36π

Base area of the pillar = 36 × 3.14

Base area of the pillar = 113.04 cm²

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