A cylinder has a base radius of 5ft and a height of 3ft. What is its volume in cubic ft, to the nearest tenths place? Answer: V= ft^(3)

Given values: To find the volume of a cylinder, we use the formula V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. We are given the radius r = 5 ft and the height h = 3 ft.Formula substitution: We plug the given values into the formula: V = π * (5 ft)^2 * 3 ft.Calculate radius squared: Calculating the radius squared: (5 ft)^2 = 25 ft^2.Multiply base area by height: Now we multiply the area of the base by the height: V = π * 25 ft^2 * 3 ft.Calculate volume: We calculate the volume: V = 3.14159 * 25 ft^2 * 3 ft ≈ 235.62 ft^3.Round to nearest tenth: Since we need to round to the nearest tenth, the volume of the cylinder is approximately 235.6 ft^3.

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A cylinder has a base radius of
5ft and a height of
3ft. What is its volume in cubic
ft, to the nearest tenths place?
Answer:
V=
ft^(3)

A cylinder has a base radius of $5 \mathrm{ft}$ and a height of $3 \mathrm{ft}$ . What is its volume in cubic $\mathrm{ft}$ , to the nearest tenths place? $\newline$ Answer: $V=$ $\mathrm{ft}^{3}$

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Math Problems

Grade 7

Convert between customary and metric systems

Full solution

Q. A cylinder has a base radius of

5 \mathrm{ft}

and a height of

3 \mathrm{ft}

. What is its volume in cubic

\mathrm{ft}

, to the nearest tenths place?

\newline

Answer:

V=

\mathrm{ft}^{3}

Given values: To find the volume of a cylinder, we use the formula $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder. We are given the radius $r = 5$ ft and the height $h = 3$ ft.
Formula substitution: We plug the given values into the formula: $V = \pi \times (5 \, \text{ft})^2 \times 3 \, \text{ft}$ .
Calculate radius squared: Calculating the radius squared: $(5 \, \text{ft})^2 = 25 \, \text{ft}^2$ .
Multiply base area by height: Now we multiply the area of the base by the height: $V = \pi \times 25 \, \text{ft}^2 \times 3 \, \text{ft}$ .
Calculate volume: We calculate the volume: $V = 3.14159 \times 25 \, \text{ft}^2 \times 3 \, \text{ft} \approx 235.62 \, \text{ft}^3$ .
Round to nearest tenth: Since we need to round to the nearest tenth, the volume of the cylinder is approximately $235.6\,\text{ft}^3$ .