What is the volume of a cylinder, in cubic ft, with a height of 3ft and a base diameter of 18ft ? Round to the nearest tenths place Answer: V=◻ft^(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.Calculate base radius: Calculate the radius of the base of the cylinder. The diameter of the base is given as 18 ft. The radius is half of the diameter, so r = diameter / 2 = 18 ft / 2 = 9 ft.Substitute values into formula: Substitute the values into the volume formula. Using the radius from Step 2 and the given height of 3 ft, we substitute these values into the volume formula: V = π * (9 ft)^2 * 3 ft.Calculate volume: Calculate the volume. V = π * 81 ft^2 * 3 ft = π * 243 ft^3. Since π is approximately 3.14159, we can calculate the volume as V ≈ 3.14159 * 243 ft^3.Perform multiplication: Perform the multiplication to find the volume. V ≈ 3.14159 * 243 ft^3 ≈ 763.407 ft^3.Round volume: Round the volume to the nearest tenths place. Rounded to the nearest tenths place, the volume is approximately 763.4 ft^3.

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What is the volume of a cylinder, in cubic
ft, with a height of
3ft and a base diameter of
18ft ? Round to the nearest tenths place
Answer:
V=◻ft^(3)

What is the volume of a cylinder, in cubic $\mathrm{ft}$ , with a height of $3 \mathrm{ft}$ and a base diameter of $18 \mathrm{ft}$ ? Round to the nearest tenths place $\newline$ Answer: $V=\square \mathrm{ft}^{3}$

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Grade 7

Convert between customary and metric systems

Full solution

Q. What is the volume of a cylinder, in cubic

\mathrm{ft}

, with a height of

3 \mathrm{ft}

and a base diameter of

18 \mathrm{ft}

? Round to the nearest tenths place

\newline

Answer:

V=\square \mathrm{ft}^{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.
Calculate base radius: Calculate the radius of the base of the cylinder. $\newline$ The diameter of the base is given as $18\,\text{ft}$ . The radius is half of the diameter, so $r = \text{diameter} / 2 = 18\,\text{ft} / 2 = 9\,\text{ft}$ .
Substitute values into formula: Substitute the values into the volume formula. $\newline$ Using the radius from Step $2$ and the given height of $3$ ft, we substitute these values into the volume formula: $V = \pi \times (9 \text{ ft})^2 \times 3 \text{ ft}$ .
Calculate volume: Calculate the volume. $\newline$ $V = \pi \times 81 \, \text{ft}^2 \times 3 \, \text{ft} = \pi \times 243 \, \text{ft}^3$ . $\newline$ Since $\pi$ is approximately $3.14159$ , we can calculate the volume as $V \approx 3.14159 \times 243 \, \text{ft}^3$ .
Perform multiplication: Perform the multiplication to find the volume. $V \approx 3.14159 \times 243 \, \text{ft}^3 \approx 763.407 \, \text{ft}^3$ .
Round volume: Round the volume to the nearest tenths place. Rounded to the nearest tenths place, the volume is approximately $763.4\,\text{ft}^3$ .