Question

A cylinder has a volume of 320 pi cubic inches and a height of 5 inches what is the radius

Answer 1

As Per Provided Information

A cylinder has a volume of 320 pi cubic inches and a height of 5 inches.

We have been asked to determine the radius of the cylinder .

Using Formulae

`\purple{\boxed {\bf\: Volume_((Cylinder)) = \pi {r}^(2)h}}`

Substituting the value and let's solve for radius .

`\sf \qquad \longrightarrow \: 320 \pi \: = \pi \: * r {}^(2) \: * 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 \cancel{\pi} = \cancel{ \pi} * r {}^(2) \: * 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 = r {}^(2) \: * 5 \\ \\ \\ \sf \qquad \longrightarrow \:r {}^(2) \: = \cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^(2) = \cancel\cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^(2) = 64 \\ \\ \\ \sf \qquad \longrightarrow \:r \: = √(64) \\ \\ \\ \sf \qquad \longrightarrow \:r \: = 8 \: inch`

Therefore,

• Radius of cylinder is 8 Inches .