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calculator a cone-shaped tent has a diameter of 12 ft and a height of 6…

Question

calculator
a cone-shaped tent has a diameter of 12 ft and a height of 6 ft.
what is the approximate volume of the tent?
use 3.14 to approximate pi, and express your final answer as a decimal.
enter your answer as a decimal in the box.

Explanation:

Step1: Find radius from diameter

Radius $r = \frac{\text{diameter}}{2} = \frac{12}{2} = 6$ ft

Step2: Recall cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h$

Step3: Substitute values and calculate

$V = \frac{1}{3} \times 3.14 \times 6^2 \times 6 = \frac{1}{3} \times 3.14 \times 36 \times 6 = 3.14 \times 36 \times 2 = 3.14 \times 72$

Answer:

226.08