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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.

A Candle In The Shape Of A Cylinder Has The Dimensions Shown In Inches In5 In8 InWhat Is The Volume In Cubic Inches Of The Candle Round Your Answer To The Neare class=

Sagot :

Answer:

157.08 cubic inches.

Explanation:

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

[tex]V=\pi r^2h[/tex]

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:

[tex]V=(3.1416)(2.5)^2(8)[/tex]

And we solve the operations to get the answer:

[tex]\begin{gathered} V=(3.1416)(6.25)(8) \\ V=157.08 \end{gathered}[/tex]

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

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