Question

volume of a cone level 1
score:6/15 penalty:1 off
question
find the volume of a right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm. round your answer to the nearest tenth of a cubic centimeter.
answer attempt 1 out of 2
cm³
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Explanation:

Step1: Recall the formula for the volume of a cone

The volume \( V \) of a right circular cone is given by the formula \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cone.

Step2: Find the radius of the base

The diameter \( d \) of the base is given as \( 17.2 \) cm. The radius \( r \) is half of the diameter, so \( r = \frac{d}{2}=\frac{17.2}{2}= 8.6 \) cm.

Step3: Substitute the values of \( r \) and \( h \) into the formula

We know that \( h = 11.1 \) cm and \( r = 8.6 \) cm. Substituting these values into the volume formula:

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Step4: Calculate the volume

First, calculate \( 3.14159\times820.956\approx2578.37 \). Then, divide by 3: \( \frac{2578.37}{3}\approx859.5 \) (rounded to the nearest tenth).

Answer:

\( 859.5 \)