What is the volume, in cubic cm, of a cylinder with a height of 15cm and a base radius of 9cm, to the nearest tenths place? Answer: V=◻cm^(3)

Identify formula for volume: 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: radius r = 9 cm, height h = 15 cm. So, V = π * (9 cm)^2 * (15 cm).Calculate volume: Calculate the volume using the values. V = π * 81 cm^2 * 15 cm. V = π * 1,215 cm^3.Evaluate expression: Evaluate the expression to find the volume. Using π ≈ 3.1416, we get: V ≈ 3.1416 * 1,215 cm^3. V ≈ 3,816.636 cm^3.Round volume: Round the volume to the nearest tenths place. V ≈ 3,816.6 cm^3.

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What is the volume, in cubic
cm, of a cylinder with a height of
15cm and a base radius of
9cm, to the nearest tenths place?
Answer:
V=◻cm^(3)

What is the volume, in cubic $\mathrm{cm}$ , of a cylinder with a height of $15 \mathrm{~cm}$ and a base radius of $9 \mathrm{~cm}$ , to the nearest tenths place? $\newline$ Answer: $V=\square \mathrm{cm}^{3}$

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Grade 7

Convert between customary and metric systems

Full solution

Q. What is the volume, in cubic

\mathrm{cm}

, of a cylinder with a height of

15 \mathrm{~cm}

and a base radius of

9 \mathrm{~cm}

, to the nearest tenths place?

\newline

Answer:

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

Identify formula for volume: 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: radius $r = 9$ cm, height $h = 15$ cm. $\newline$ So, $V = \pi \times (9 \text{ cm})^2 \times (15 \text{ cm})$ .
Calculate volume: Calculate the volume using the values. $\newline$ $V = \pi \times 81 \, \text{cm}^2 \times 15 \, \text{cm}$ . $\newline$ $V = \pi \times 1,215 \, \text{cm}^3$ .
Evaluate expression: Evaluate the expression to find the volume. $\newline$ Using $\pi \approx 3.1416$ , we get: $\newline$ $V \approx 3.1416 \times 1,215 \, \text{cm}^3$ . $\newline$ $V \approx 3,816.636 \, \text{cm}^3$ .
Round volume: Round the volume to the nearest tenths place. $V \approx 3,816.6$ cm $^3$ .