Find the volume of a right circular cone that has a height of 18.2ft and a base with a diameter of 18.8ft. Round your answer to the nearest tenth of a cubic foot. Answer: ft^(3)

Find Radius of Base: To find the volume of a cone, we use the formula V = (1/3)πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cone. First, we need to find the radius of the base. The radius is half of the diameter.Calculate Radius: The diameter of the base is given as 18.8 feet. Therefore, the radius r is 18.8 / 2 = 9.4 feet.Substitute Values: Now we can substitute the values of the radius and height into the volume formula. The height h is given as 18.2 feet. V = (1/3)π(9.4)^2(18.2)Calculate Volume: Let's calculate the volume using the values we have. V = (1/3)π(9.4)^2(18.2) = (1/3)π(88.36)(18.2) ≈ (1/3)(3.14159)(88.36)(18.2)Perform Multiplication: Performing the multiplication, we get: V ≈ (1/3)(3.14159)(88.36)(18.2) ≈ (3.14159)(88.36)(6.06666667)Continue Calculation: Continuing with the calculation: V ≈ (3.14159)(88.36)(6.06666667) ≈ 1674.6154 cubic feetRound Answer: Finally, we round the answer to the nearest tenth of a cubic foot. V ≈ 1674.6 cubic feet

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Find the volume of a right circular cone that has a height of
18.2ft and a base with a diameter of
18.8ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
ft^(3)

Find the volume of a right circular cone that has a height of $18.2 \mathrm{ft}$ and a base with a diameter of $18.8 \mathrm{ft}$ . Round your answer to the nearest tenth of a cubic foot. $\newline$ Answer: $\mathrm{ft}^{3}$

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Grade 8

Circles: word problems

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Q. Find the volume of a right circular cone that has a height of

18.2 \mathrm{ft}

and a base with a diameter of

18.8 \mathrm{ft}

. Round your answer to the nearest tenth of a cubic foot.

\newline

Answer:

\mathrm{ft}^{3}

Find Radius of Base: To find the volume of a cone, we use the formula $V = (\frac{1}{3})\pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cone. First, we need to find the radius of the base. The radius is half of the diameter.
Calculate Radius: The diameter of the base is given as $18.8$ feet. Therefore, the radius $r$ is $18.8 / 2 = 9.4$ feet.
Substitute Values: Now we can substitute the values of the radius and height into the volume formula. The height $h$ is given as $18.2$ feet. $V = (\frac{1}{3})\pi(9.4)^2(18.2)$
Calculate Volume: Let's calculate the volume using the values we have. $V = \frac{1}{3}\pi(9.4)^2(18.2) = \frac{1}{3}\pi(88.36)(18.2) \approx \frac{1}{3}(3.14159)(88.36)(18.2)$
Perform Multiplication: Performing the multiplication, we get: $V \approx \left(\frac{1}{3}\right)(3.14159)(88.36)(18.2) \approx (3.14159)(88.36)(6.06666667)$
Continue Calculation: Continuing with the calculation: $V \approx (3.14159)(88.36)(6.06666667) \approx 1674.6154$ cubic feet
Round Answer: Finally, we round the answer to the nearest tenth of a cubic foot. $V \approx 1674.6$ cubic feet