Questions: Question 7 A drum is 40 inches in diameter and 4 feet high. What is its volume? a. 2.91 ft^3 b. 3.491 ft^3 c. 34.91 ft^3 d. 418.88 ft^3

Solution Steps

The diameter of the drum is given as 40 inches. To find the radius, we divide the diameter by 2:

\[ \text{Radius} = \frac{40}{2} = 20 \text{ inches} \]

Since the height is given in feet, we need to convert the radius from inches to feet. There are 12 inches in a foot, so:

\[ \text{Radius in feet} = \frac{20}{12} \approx 1.6667 \text{ feet} \]

The formula for the volume \( V \) of a cylinder is:

\[ V = \pi r^2 h \]

where \( r \) is the radius and \( h \) is the height. Substituting the known values:

\[ V = \pi (1.6667)^2 \times 4 \]

\[ V \approx 3.1416 \times 2.7778 \times 4 \]

\[ V \approx 34.9066 \text{ cubic feet} \]

Final Answer