Question

A cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base?

Answer 1

Step-by-step explanation:

Firstly, convert  pi cubic meters to cm³ cause volume of any shape is measured in centimeter cube(cm³)

pi (cubic meters) =  3 141 592.65cm³

288                        = xcm³

cross multiply which is 288 divided by 3 141 592.65 to give 2.192*10∧-5 cm³

Volume of a cylinder = πr²h

π is 3.142, r² is unknown and h is 9m

2.192*10∧-5 cm³ = 3.142*r²*9

2.192*10∧-5 cm³ = 28.278r²

divide 2.192*10∧-5 cm³ by 28.278 to make r the subject of formula

which is 7.752*10^-7

√r²= √7.752*10^-7

r= 8.8*10^-4