Question

a drum of oil has a height of 4 feet and a radius of 1.2 feet. the oil costs $22 per cubic feet. what is the cost to fill the drum of oil? use 3.14 for pi. round only your final answer to the nearest penny. enter your answer in the box.

Explanation:

Step1: Calculate the volume of the cylindrical drum

The drum is a cylinder, and the formula for the volume of a cylinder is \( V=\pi r^{2}h \). Given that \( r = 1.2 \) feet, \( h=4 \) feet and \( \pi = 3.14 \).
Substitute the values into the formula:
\( V=3.14\times(1.2)^{2}\times4 \)
First, calculate \( (1.2)^{2}=1.44 \)
Then, \( 3.14\times1.44 = 4.5216 \)
Then, \( 4.5216\times4=18.0864 \) cubic feet. So the volume of the drum is \( 18.0864 \) cubic feet.

Step2: Calculate the cost to fill the drum

The cost per cubic foot is \( \$22 \). To find the total cost, we multiply the volume by the cost per cubic foot.
Total cost \( = 18.0864\times22 \)
\( 18.0864\times22 = 397.9008 \)

Step3: Round to the nearest penny

Rounding \( 397.9008 \) to the nearest penny (two decimal places), we get \( 397.90 \)

Answer:

\$397.90