Question

volume of a cylinder
score: 1/5 penalty: 0.25 off
question
a cylinder has a base radius of 3 meters and a height of 9 meters. what is its volume in cubic meters, to the nearest tenths place?
answer attempt 1 out of 2
v = m³ submit answer

Explanation:

Step1: Recall volume formula for cylinder

Volume \( V = \pi r^2 h \)

Step2: Substitute given values

\( r = 3 \, \text{m}, h = 9 \, \text{m} \), so \( V = \pi (3)^2 (9) \)

Step3: Calculate \( r^2 h \)

\( 3^2 = 9 \), \( 9 \times 9 = 81 \)

Step4: Compute volume with \( \pi \)

\( V = 81\pi \approx 81 \times 3.1416 \approx 254.4696 \)

Step5: Round to nearest tenth

\( 254.4696 \approx 254.5 \)

Answer:

254.5