A cylindrical canister has a radius of 3 inches and a height of 5 inches. Which of the fol… — Armed Services Vocational Aptitude Battery (ASVAB)

A cylindrical canister has a radius of $3$ inches and a height of $5$ inches. Which of the following represents the total volume of the canister in cubic inches?

$45\pi$ Answer
B
$30\pi$
C
$75\pi$
D
$180\pi$

Answer

45\pi

The correct answer is

45\pi

. The volume of a cylinder is found using the formula

V = \pi r^2 h

. Squaring the given radius of

3

results in

9

. Multiplying

9

by the given height of

5

yields

45\pi

cubic inches.

Step-by-Step Solution

Identify the correct formula for the volume of a cylinder.

V = \pi r^2 h

The question asks for the volume of a cylindrical shape.

Substitute the given values into the formula.

V = \pi (3)^2 (5)

The radius (r) is 3 inches and the height (h) is 5 inches.

Square the radius according to the order of operations.

3^2 = 9

Exponents must be evaluated before multiplication.

Multiply the squared radius by the height and pi.

9 \times 5 \times \pi = 45\pi

This completes the volume calculation.

Key Concept

Volume of a Cylinder

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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