Get Math Help

GET TUTORING NEAR ME!

(800) 434-2582

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Home / Get Math Help

    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 ( ≈ 31.5 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:
 | 6.6 feet
 | 79 inches
 | 200 cm (centimeters)

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

    Amount of an ideal gas from PV = nRT at STP:
 | 1476 mol (moles)

    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))

    Back to List | POWERED BY THE WOLFRAM LANGUAGE