Question

calculate the volume of the cone. what is the volume of a cone with a height of 27 cm and a radius of 13 cm? round your answer to the nearest tenth. use the π button on your calculator to complete this problem. v = cm³

Explanation:

Step1: Calculate radius squared

\( r^2 = 13^2 = 169 \)

Step2: Multiply by height

\( 169 \times 27 = 4563 \)

Step3: Multiply by 1/3

\( 4563 \times \frac{1}{3} = 1521 \)

Step4: Multiply by π

\( 1521 \times \pi \approx 4778.36 \)

Step5: Round to nearest tenth

\( 4778.36 \approx 4778.4 \)

Answer:

4778.4 cm³