What is the volume, in cubic cm, of a cylinder with a height of 7cm and a base radius of 7cm, to the nearest tenths place? Answer: V=◻cm^(3)

Identify formula: Identify the formula for the volume of a cylinder. The volume (V) of a cylinder can be calculated using the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.Plug values: Plug the given values into the formula. Given that the radius (r) is 7 cm and the height (h) is 7 cm, we substitute these values into the formula to get V = π(7 cm)^2(7 cm).Calculate base area: Calculate the base area. First, we calculate the area of the base, which is πr^2. So, the base area is π(7 cm)^2 = 49π cm^2.Calculate volume: Calculate the volume. Now, we multiply the base area by the height to find the volume. V = 49π cm^2 * 7 cm = 343π cm^3.Use value of π: Use the value of π to find the numerical value. We use the approximate value of π, which is 3.1416, to calculate the volume. V ≈ 343 * 3.1416 cm^3.Perform multiplication: Perform the multiplication to find the volume. V ≈ 343 * 3.1416 cm^3 ≈ 1077.9528 cm^3.Round result: Round the result to the nearest tenth. The volume of the cylinder, rounded to the nearest tenth, is approximately 1078.0 cm^3.

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What is the volume, in cubic
cm, of a cylinder with a height of
7cm and a base radius of
7cm, to the nearest tenths place?
Answer:
V=◻cm^(3)

What is the volume, in cubic $\mathrm{cm}$ , of a cylinder with a height of $7 \mathrm{~cm}$ and a base radius of $7 \mathrm{~cm}$ , 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

7 \mathrm{~cm}

and a base radius of

7 \mathrm{~cm}

, to the nearest tenths place?

\newline

Answer:

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

Identify formula: Identify the formula for the volume of a cylinder. $\newline$ The volume $V$ of a cylinder can be calculated using the formula $V = \pi r^2 h$ , where $r$ is the radius of the base and $h$ is the height of the cylinder.
Plug values: Plug the given values into the formula. $\newline$ Given that the radius $r$ is $7$ cm and the height $h$ is $7$ cm, we substitute these values into the formula to get $V = \pi(7 \text{ cm})^2(7 \text{ cm})$ .
Calculate base area: Calculate the base area. $\newline$ First, we calculate the area of the base, which is $\pi r^2$ . So, the base area is $\pi(7 \, \text{cm})^2 = 49\pi \, \text{cm}^2$ .
Calculate volume: Calculate the volume. $\newline$ Now, we multiply the base area by the height to find the volume. $V = 49\pi \, \text{cm}^2 \times 7 \, \text{cm} = 343\pi \, \text{cm}^3$ .
Use value of $\pi$ : Use the value of $\pi$ to find the numerical value. $\newline$ We use the approximate value of $\pi$ , which is $3.1416$ , to calculate the volume. $V \approx 343 \times 3.1416 \, \text{cm}^3$ .
Perform multiplication: Perform the multiplication to find the volume. $V \approx 343 \times 3.1416 \, \text{cm}^3 \approx 1077.9528 \, \text{cm}^3$ .
Round result: Round the result to the nearest tenth. $\newline$ The volume of the cylinder, rounded to the nearest tenth, is approximately $1078.0\,\text{cm}^3$ .