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What is the volume of a cylinder, in cubic meters, with a height of 10 meters and a base diameter of 14 meters? Round to the nearest tenths place
Answer:
V=◻ meters
^(3)

What is the volume of a cylinder, in cubic meters, with a height of $10$ meters and a base diameter of $14$ meters? Round to the nearest tenths place $\newline$ Answer: $V=\square$ meters $^{3}$

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Convert between customary and metric systems

Full solution

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

10

meters and a base diameter of

14

meters? Round to the nearest tenths place

\newline

Answer:

V=\square

meters

^{3}

Identify formula for volume: 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 of the cylinder and $h$ is the height of the cylinder.
Convert diameter to radius: Convert the diameter to radius. $\newline$ Since the diameter of the base is given as $14$ meters, we need to divide it by $2$ to find the radius. $\newline$ Radius ( $r$ ) = Diameter / $2$ = $14$ meters / $2$ = $7$ meters.
Plug values into formula: Plug the radius and height into the formula to calculate the volume. $\newline$ Using the radius of $7$ meters and the height of $10$ meters, we can calculate the volume as follows: $\newline$ $V = \pi \times (7 \text{ meters})^2 \times 10 \text{ meters}.$
Perform calculation: Perform the calculation. $\newline$ $V = \pi \times 49 \times 10 = 490\pi$ cubic meters.
Use value of pi: Use the value of $\pi$ (approximately $3.14159$ ) to find the numerical value of the volume. $V \approx 490 \times 3.14159 = 1539.3801$ cubic meters.
Round to nearest tenths: Round the result to the nearest tenths place. $\newline$ Rounded volume $V \approx 1539.4$ cubic meters.

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