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Question

A right cone shows a base radius of 5 centimeters and a perpendicular height of 9 centimeters. A right angle is formed with the diameter and the height at the center of the circular base.
What is the volume of the cone in cubic centimeters? Use 3.14 for pi. Round your answer to the nearest tenth. (1 point)
cubic centimeters

Answer 1

To find the volume of a cone, we can use the formula:

\[ V = \frac{1}{3} \pi r^2 h \]

where:

• \( V \) is the volume,
• \( r \) is the radius of the base, and
• \( h \) is the height of the cone.

Given:

• The radius \( r = 5 \) cm,
• The height \( h = 9 \) cm,
• Using \( \pi \approx 3.14 \).

Now, substitute the values into the formula:

\[ V = \frac{1}{3} \times 3.14 \times (5^2) \times 9 \]

Calculating \( 5^2 \):

\[ 5^2 = 25 \]

Now substitute back:

\[ V = \frac{1}{3} \times 3.14 \times 25 \times 9 \]

Calculating \( 25 \times 9 \):

\[ 25 \times 9 = 225 \]

Now substitute this back:

\[ V = \frac{1}{3} \times 3.14 \times 225 \]

Calculating \( 3.14 \times 225 \):

\[ 3.14 \times 225 = 706.5 \]

Now divide this by 3:

\[ V \approx \frac{706.5}{3} \approx 235.5 \]

Rounding to the nearest tenth, the volume of the cone is:

\[ \boxed{235.5} \text{ cubic centimeters} \]