Question

a cylinder has a height of 10 feet and a diameter of 27 feet. which measurement is closest to the volume of the cylinder in cubic feet?\bigcirc 8,482.30 $ft^3$\bigcirc 5,725.55 $ft^3$\bigcirc 2,120.58 $ft^3$\bigcirc 5,309.29 $ft^3$

Explanation:

Step1: Find radius from diameter

Radius $r = \frac{27}{2} = 13.5$ feet

Step2: Apply cylinder volume formula

Volume $V = \pi r^2 h = \pi \times (13.5)^2 \times 10$

Step3: Calculate the volume

$V = \pi \times 182.25 \times 10 = 1822.5\pi \approx 5725.55$

Answer:

5,725.55 $ft^3$