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How To Find the Volume of a Cone

Result

(32 π)/3 m^3 (cubic meters)≈33.5103 m^3 (cubic meters)
(assuming apex (0, 0, 8) and base center (0, 0, 0))

Visual representation

Visual representation

Unit conversions

33510 L (liters)

8852 gallons

1183 ft^3 (cubic feet)

Comparisons as volume

 ≈ 0.93 × volume of a 1C-series freight container ( 1266 to 1272 ft^3 )

 ≈ 1.1 × typical volume of a humpback whale ( ≈ 31 m^3 )

 ≈ (0.8 to 1.7) × 20-foot equivalent unit ( 680 to 1520 ft^3 )

Corresponding quantities

Radius r of a sphere from V = 4πr^3/3:
 | 6.562 feet
 | 78.74 inches
 | 200 cm (centimeters)

Edge length a of a cube from V = a^3:
 | 10.58 feet
 | 126.9 inches
 | 3.224 meters

Properties of finite cone

slant height | 2 sqrt(17) meters≈8.24621 meters
volume | (32 π)/3 m^3 (cubic meters)≈33.5103 m^3 (cubic meters)
lateral surface area | 4 sqrt(17) π m^2 (square meters)≈51.8125 m^2 (square meters)
base area | 4 π m^2 (square meters)≈12.5664 m^2 (square meters)
base circumference | 4 π meters≈12.5664 meters
surface area | 4 (1 + sqrt(17)) π m^2 (square meters)≈64.3788 m^2 (square meters)
opening angle | 2 tan^(-1)(1/4) radians≈0.489957 radians
(assuming apex (0, 0, 8) and base center (0, 0, 0))

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