What is the volume, in cubic cm, of a cylinder with a height of 4cm and a base radius of 5cm, to the nearest tenths place? Answer: V=◻cm^(3)

Identify Formula: Identify the formula to calculate 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 Values: Plug the given values into the formula. Given: radius r = 5 cm, height h = 4 cm. So, V = π * (5 cm)^2 * (4 cm).Calculate Area: Calculate the base area. Base area A = π * (5 cm)^2 = π * 25 cm^2.Calculate Volume: Calculate the volume. V = Base area A * height h = π * 25 cm^2 * 4 cm.Perform Multiplication: Perform the multiplication to find the volume. V = π * 25 cm^2 * 4 cm = 100π cm^3.Use Value of π: Use the value of π to calculate the volume numerically. Assuming π ≈ 3.1416, we get V ≈ 100 * 3.1416 cm^3.Calculate Numerical Value: Calculate the numerical value. V ≈ 314.16 cm^3.Round Volume: Round the volume to the nearest tenths place. V ≈ 314.2 cm^3.

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What is the volume, in cubic
cm, of a cylinder with a height of
4cm and a base radius of
5cm, to the nearest tenths place?
Answer:
V=◻cm^(3)

What is the volume, in cubic $\mathrm{cm}$ , of a cylinder with a height of $4 \mathrm{~cm}$ and a base radius of $5 \mathrm{~cm}$ , to the nearest tenths place? $\newline$ Answer: $V=\square \mathrm{cm}^{3}$

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Math Problems

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

4 \mathrm{~cm}

and a base radius of

5 \mathrm{~cm}

, to the nearest tenths place?

\newline

Answer:

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

Identify Formula: Identify the formula to calculate 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 Values: Plug the given values into the formula. $\newline$ Given: radius $r = 5$ cm, height $h = 4$ cm. $\newline$ So, $V = \pi \times (5 \text{ cm})^2 \times (4 \text{ cm})$ .
Calculate Area: Calculate the base area. $\newline$ Base area $A = \pi \times (5 \, \text{cm})^2 = \pi \times 25 \, \text{cm}^2$ .
Calculate Volume: Calculate the volume. $V = \text{Base area } A \times \text{height } h = \pi \times 25 \, \text{cm}^2 \times 4 \, \text{cm}.$
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ $V = \pi \times 25 \, \text{cm}^2 \times 4 \, \text{cm} = 100\pi \, \text{cm}^3$ .
Use Value of $\pi$ : Use the value of $\pi$ to calculate the volume numerically. $\newline$ Assuming $\pi \approx 3.1416$ , we get $V \approx 100 \times 3.1416 \, \text{cm}^3$ .
Calculate Numerical Value: Calculate the numerical value. $V \approx 314.16$ cm $^3$ .
Round Volume: Round the volume to the nearest tenths place. $V \approx 314.2\,\text{cm}^3$ .