Question

A cone consitst of these measure but need to find the volume and surface area. The diameter is 16m, height is 8m, and the slant height is 11.31m.

A.) V=769.17m³ SA=535.89m²
B.) V= 535.89m SA=769.17m
C.) V=535.89m³ SA= 769.17m²
D.) V=1607.68m³ SA=769.56m²

Answer 1

To find the volume and surface area of a cone, you can use the following formulas:

Volume = (1/3) * pi * radius^2 * height
Surface area = pi * radius * (radius + slant height)

In this case, the diameter is 16m, so the radius is 8m. The height is 8m and the slant height is 11.31m. Substituting these values into the formulas gives:

Volume = (1/3) * pi * 8m^2 * 8m = (1/3) * pi * 64m^3 = 21.333m^3 * 64m^3 = 1,365.33m^3
Surface area = pi * 8m * (8m + 11.31m) = pi * 8m * 19.31m = pi * 153.48m^2 = 483.04m^2

So, the volume of the cone is 1,365.33m^3 and the surface area is 483.04m^2. The correct answer is therefore C) V=535.89m³ SA= 769.17m².