What is the volume of a cylinder with a height of 3.3 in and a base with a radius of 4.3 in, to the nearest tenth of a cubic inch? Answer: 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 r is the radius of the base and h is the height of the cylinder.Substitute Values: Substitute the given values into the formula. Using the given radius r = 4.3 inches and height h = 3.3 inches, the volume V is calculated as V = π * (4.3 in)^2 * 3.3 in.Calculate Radius Squared: Calculate the radius squared. Radius squared is (4.3 in)^2 = 18.49 in^2.Multiply Radius by Height: Multiply the radius squared by the height. Now multiply 18.49 in^2 by the height of 3.3 in to get the volume before applying π. Volume before π = 18.49 in^2 * 3.3 in = 61.017 in^3.Multiply by π: Multiply by π to get the volume. Using π ≈ 3.14159, the volume V ≈ 3.14159 * 61.017 in^3. Volume V ≈ 191.748 in^3.Round Volume: Round the volume to the nearest tenth. Rounding 191.748 in^3 to the nearest tenth gives us 191.7 in^3.

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What is the volume of a cylinder with a height of 3.3 in and a base with a radius of 4.3 in, to the nearest tenth of a cubic inch?
Answer: in
^(3)

What is the volume of a cylinder with a height of $3$ . $3$ $\text{in}$ and a base with a radius of $4$ . $3$ $\text{in}$ , to the nearest tenth of a cubic inch? $\newline$ Answer: $\text{in}$ $^{3}$

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Math Problems

Grade 6

Volume of cubes and rectangular prisms: word problems

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Q. What is the volume of a cylinder with a height of

3

3

\text{in}

and a base with a radius of

4

3

\text{in}

, to the nearest tenth of a cubic inch?

\newline

Answer:

\text{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 $r$ is the radius of the base and $h$ is the height of the cylinder.
Substitute Values: Substitute the given values into the formula. $\newline$ Using the given radius $r = 4.3$ inches and height $h = 3.3$ inches, the volume $V$ is calculated as $V = \pi \times (4.3 \text{ in})^2 \times 3.3 \text{ in}$ .
Calculate Radius Squared: Calculate the radius squared. $\newline$ Radius squared is $(4.3 \, \text{in})^2 = 18.49 \, \text{in}^2$ .
Multiply Radius by Height: Multiply the radius squared by the height. $\newline$ Now multiply $18.49 \, \text{in}^2$ by the height of $3.3 \, \text{in}$ to get the volume before applying $\pi$ . $\newline$ Volume before $\pi = 18.49 \, \text{in}^2 \times 3.3 \, \text{in} = 61.017 \, \text{in}^3$ .
Multiply by $\pi$ : Multiply by $\pi$ to get the volume. $\newline$ Using $\pi \approx 3.14159$ , the volume $V \approx 3.14159 \times 61.017$ in $^3$ . $\newline$ Volume $V \approx 191.748$ in $^3$ .
Round Volume: Round the volume to the nearest tenth. $\newline$ Rounding $191.748 \, \text{in}^3$ to the nearest tenth gives us $191.7 \, \text{in}^3$ .