Question

A candle in the shape of a cylinder has the dimensions shown, in inches (in.).5 in8 in.What is the volume, in cubic inches, of the candle? Round your answer to the nearest hundredth.

Answer 1

157.08 cubic inches.

Step-by-step explanation:

The volume of a cylinder is calculated with the following formula:

`V=\pi r^2h`

Where π = 3.1416, r is the radius of the cylinder and h is the height.

We have the diameter of the cylinder which is 5 in. Since the radius is half of the diameter, the radius is: r = 5in/2 = 2.5in.

And the height indicated is: 8 in.

We substitute this values into the volume formula:

`V=(3.1416)(2.5)^2(8)`

And we solve the operations to get the answer:

`\begin{gathered} V=(3.1416)(6.25)(8) \\ V=157.08 \end{gathered}`

The answer, rounded to the nearest hundredth (2 decimal places) is 157.08 cubic inches.