Question

question
what is the volume, in cubic centimeters, of a cylinder with a height of 11 centimeters a base radius of 10 centimeters, to the nearest tenths place?
answer attempt 2 out of 2
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Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by the formula \( V = \pi r^2 h \), where \( r \) is the radius of the base and \( h \) is the height of the cylinder.

Step2: Identify the given values

We are given that the radius \( r = 10 \) centimeters and the height \( h = 11 \) centimeters.

Step3: Substitute the values into the formula

Substitute \( r = 10 \) and \( h = 11 \) into the formula:

$$ V = \pi \times (10)^2 \times 11 $$

Step4: Simplify the expression

First, calculate \( (10)^2 = 100 \). Then, multiply by 11: \( 100 \times 11 = 1100 \). So the volume becomes:

$$ V = 1100\pi $$

Step5: Calculate the numerical value

Using \( \pi \approx 3.14159 \), we have:

$$ V \approx 1100 \times 3.14159 = 3455.749 $$

Step6: Round to the nearest tenths place

Rounding \( 3455.749 \) to the nearest tenths place gives \( 3455.7 \).

Answer:

\( 3455.7 \)