Question

try it yourself! calculate the volume of each cone. use 3.14 for π. round your answer to the nearest hundredth if needed.

Explanation:

First Cone (2 cm radius, 4 cm height)

Step1: Recall cone volume formula

The volume \( V \) of a cone is given by \( V = \frac{1}{3}\pi r^2 h \), where \( r \) is the radius and \( h \) is the height. Here, \( r = 2 \) cm, \( h = 4 \) cm, and \( \pi \approx 3.14 \).

Step2: Substitute values into the formula

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Second Cone (4 ft radius, 7 ft height)

Step1: Recall cone volume formula

The volume \( V \) of a cone is \( V = \frac{1}{3}\pi r^2 h \), with \( r = 4 \) ft, \( h = 7 \) ft, and \( \pi \approx 3.14 \).

Step2: Substitute values into the formula

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Third Cone (7 cm radius, 12 cm height)

Step1: Recall cone volume formula

The volume \( V \) of a cone is \( V = \frac{1}{3}\pi r^2 h \), where \( r = 7 \) cm, \( h = 12 \) cm, and \( \pi \approx 3.14 \).

Step2: Substitute values into the formula

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Fourth Cone (5 yd radius, 10 yd height)

Answer:

• First cone: \( \approx 16.75 \, \text{cm}^3 \)
• Second cone: \( \approx 117.23 \, \text{ft}^3 \)
• Third cone: \( 615.44 \, \text{cm}^3 \)
• Fourth cone: \( \approx 261.67 \, \text{yd}^3 \)