A cylinder has a base radius of 10 in and a height of 2in. What is its volume in cubic in, to the nearest tenths place? Answer: V=◻in^(3)

Identify Formula: Identify the formula for the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.Plug Given Values: Plug the given values into the formula. Given: r = 10 inches, h = 2 inches V = π(10 inches)^2(2 inches)Calculate Volume: Calculate the volume using the given values. V = π(100 inches^2)(2 inches) V = 200π inches^3Evaluate Expression: Evaluate the expression to find the volume to the nearest tenth. Using the approximation π ≈ 3.1416, we get: V ≈ 200 * 3.1416 inches^3 V ≈ 628.32 inches^3Round Volume: Round the volume to the nearest tenth. V ≈ 628.3 inches^3 (to the nearest tenth)

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A cylinder has a base radius of
10 in and a height of
2in. What is its volume in cubic in, to the nearest tenths place?
Answer:
V=◻in^(3)

A cylinder has a base radius of $10 i n$ and a height of $2 \mathrm{in}$ . What is its volume in cubic in, to the nearest tenths place? $\newline$ Answer: $V=\square \mathrm{in}^{3}$

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Grade 7

Convert between customary and metric systems

Full solution

Q. A cylinder has a base radius of

10 i n

and a height of

2 \mathrm{in}

. What is its volume in cubic in, to the nearest tenths place?

\newline

Answer:

V=\square \mathrm{in}^{3}

Identify Formula: Identify the formula for the volume of a cylinder. $\newline$ The formula for the volume of a cylinder is $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder.
Plug Given Values: Plug the given values into the formula. $\newline$ Given: $r = 10$ inches, $h = 2$ inches $\newline$ $V = \pi(10\,\text{inches})^2(2\,\text{inches})$
Calculate Volume: Calculate the volume using the given values. $\newline$ $V = \pi(100 \text{ inches}^2)(2 \text{ inches})$ $\newline$ $V = 200\pi \text{ inches}^3$
Evaluate Expression: Evaluate the expression to find the volume to the nearest tenth. $\newline$ Using the approximation $\pi \approx 3.1416$ , we get: $\newline$ $V \approx 200 \times 3.1416$ inches $^3$ $\newline$ $V \approx 628.32$ inches $^3$
Round Volume: Round the volume to the nearest tenth. $V \approx 628.3$ inches $^3$ (to the nearest tenth)