Question

A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest whole number. How????

Answer 1

In order to find the volume you need the height. 

Surface area = π r² + base x height or width x length
1850 = 3.14 × 9² + radius × 2 x π x height
1850 = 254.34 + 9 × 2 × 3.14 × height
1850 = 310.86 × height

To find the height you have to divide the surface area by the part I bolded

Height = 1850 ÷ 310.56
Height ≈ 6

Volume of a cylinder = πr²×height 
= 3.14 × 9 × 9 × 6
Volume =1526.04

Nearest whole number would be 1526