Question

volume of a cylinder
score: 2/5 penalty: 0.25 off
question
a cylinder has a base diameter of 10 centimeters and a height of 19 centimeters. what is its volume in cubic centimeters, to the nearest tenths place?
answer attempt 1 out of 2
v =
cm³
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Explanation:

Step1: Find radius

Radius $r = \frac{\text{diameter}}{2} = \frac{10}{2} = 5$ cm

Step2: Calculate base area

Base area $A = \pi r^2 = \pi (5)^2 = 25\pi$ cm²

Step3: Compute volume

Volume $V = A \times h = 25\pi \times 19 = 475\pi$ cm³

Step4: Round to nearest tenth

$475\pi \approx 475 \times 3.1416 \approx 1492.3$ cm³

Answer:

1492.3