Question

Hellppp pleaseeee

Find the volume of the cylinder

What is the exact volume in terms of π

What is the approximate volume using a calculator for π

Round the approximate volume to the nearest hundredth.

Answer 1

Volume of cylinder is 953.77 cm³ and volume in term of π is 303.75π

Explanation:

Given: Diameter is 9 cm

Height is 15 cm.

First lets find out the radius of cylinder.

As given, diameter is 9 cm

we know, radius=
`(diameter)/(2)`

Radius=
`(9)/(2) = 4.5\ cm`

Now, finding the volume of the cylinder.

Formula; Volume of cylinder=
`\pi r^(2) h`

where r is radius and h is height of cylinder.

⇒ Volume of cylinder=
`\pi * 4.5^(2) * 15`

⇒Volume of cylinder=
`\pi * 20.25* 15`

⇒Volume of cylinder=
`303.75\pi`

Taking π = 3.14

⇒ Volume of cylinder=
`303.75* 3.14`

⇒ Volume of cylinder= 953.77 cm³

Hence, volume of cylinder is 953.77 cm³ and volume in term of π is 303.75π.