Get Math Help

Get Tutoring Info Now!

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 Surface Area of a Cone

Result

4 (1 + sqrt(17)) π m^2 (square meters)≈64.3788 m^2 (square meters)
(assuming apex (0, 0, 8) and base center (0, 0, 0))

Visual representation

Visual representation

Unit conversions

6.438×10^-5 km^2 (square kilometers)

2.486×10^-5 mi^2 (square miles)

693 ft^2 (square feet)

0.01591 acres

Comparisons as surface area

 ≈ ( 0.12 ≈ 1/8 ) × Boeing 747-400 wing surface area ( ≈ 525 m^2 )

 ≈ ( 0.13 ≈ 1/7 ) × B2 stealth bomber wing surface area ( ≈ 478 m^2 )

 ≈ 0.92 × average surface area of a human lung ( ≈ 70 m^2 )

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