Question

find the volume of an oblique cylinder with a base radius of 4 m and a height of 11 m. use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall the volume formula for a cylinder (oblique cylinders have the same volume as right cylinders, \( V=\pi r^2 h \))

Here, \( r = 4 \, \text{m} \), \( h = 11 \, \text{m} \), and \( \pi \approx 3.14 \).

Step2: Calculate \( r^2 \)

\( r^2 = 4^2 = 16 \, \text{m}^2 \)

Step3: Calculate the base area (\( \pi r^2 \))

\( \pi r^2 = 3.14 \times 16 = 50.24 \, \text{m}^2 \)

Step4: Calculate the volume (\( V = \text{base area} \times h \))

\( V = 50.24 \times 11 = 552.64 \, \text{m}^3 \)

Step5: Round to the nearest whole number

\( 552.64 \approx 553 \)

Answer:

\( 553 \, \text{cubic meters} \) (or \( 553 \, \text{m}^3 \))