Question

A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place ?

Answer 1

`diameter : \ d = 10cm \\height : \ h=14 \ cm \\ \\r=(d)/(2)=(10)/(2)=5 cm \\ \\volume \ of \ a \ cylinder \ is \ equal \\ \\V= \pi r^2h \\ \\V= \pi\cdot 5^2 \cdot 14 =3.14\cdot 25 \cdot 14 = 1099.0 \ cm^3 \\ \\ Answer : \ its \ volume \ is \ 1099 \  cubic \ cm`

Answer 2

Volume of any cylinder = π times (radius)² times (height or length)

Radius of your cylinder = 1/2 of the diameter =5 cm

Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)