A cylinder has a base diameter of 20ft and a height of 10ft. What is its volume in cubic ft, to the nearest tenths place? Answer: V= ft^(3)

Write Volume Formula: Write down the formula for the volume of a cylinder. The volume of a cylinder (V) is given by the formula V = πr^2h, where 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 20 feet. The radius is half of the diameter, so r = diameter / 2 = 20ft / 2 = 10ft.Substitute Values: Substitute the values of the radius and height into the volume formula. Using the radius r = 10ft and the height h = 10ft, we substitute these values into the volume formula: V = π(10ft)^2(10ft).Calculate Volume: Calculate the volume of the cylinder. V = π(10ft)^2(10ft) = π(100ft^2)(10ft) = π(1000ft^3) = 3141.59ft^3 (using π ≈ 3.14159).Round to Nearest Tenth: Round the volume to the nearest tenth. Rounding 3141.59ft^3 to the nearest tenth gives us 3141.6ft^3.

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A cylinder has a base diameter of
20ft and a height of
10ft. What is its volume in cubic
ft, to the nearest tenths place?
Answer:
V=
ft^(3)

A cylinder has a base diameter of $20 \mathrm{ft}$ and a height of $10 \mathrm{ft}$ . What is its volume in cubic $\mathrm{ft}$ , to the nearest tenths place? $\newline$ Answer: $V=$ $\mathrm{ft}^{3}$

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Full solution

Q. A cylinder has a base diameter of

20 \mathrm{ft}

and a height of

10 \mathrm{ft}

. What is its volume in cubic

\mathrm{ft}

, to the nearest tenths place?

\newline

Answer:

V=

\mathrm{ft}^{3}

Write Volume Formula: Write down the formula for the volume of a cylinder. $\newline$ The volume of a cylinder ( extit{V}) is given by the formula V = \[pi\]r^2h, where $r$ 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 $20$ feet. The radius is half of the diameter, so $r = \text{diameter} / 2 = 20\,\text{ft} / 2 = 10\,\text{ft}$ .
Substitute Values: Substitute the values of the radius and height into the volume formula. $\newline$ Using the radius $r = 10\,\text{ft}$ and the height $h = 10\,\text{ft}$ , we substitute these values into the volume formula: $V = \pi(10\,\text{ft})^2(10\,\text{ft})$ .
Calculate Volume: Calculate the volume of the cylinder. $V = \pi(10\,\text{ft})^2(10\,\text{ft}) = \pi(100\,\text{ft}^2)(10\,\text{ft}) = \pi(1000\,\text{ft}^3) = 3141.59\,\text{ft}^3$ (using $\pi \approx 3.14159$ ).
Round to Nearest Tenth: Round the volume to the nearest tenth. $\newline$ Rounding $3141.59\,\text{ft}^3$ to the nearest tenth gives us $3141.6\,\text{ft}^3$ .