Question

The surface area, S, of a cone with radius r and slant height h is given by the

formula S = π r(h+ r). Find the surface area of a cone with radius r = 3 inches and
slant height h = 7 inches. Give the answer rounded to the nearest one-hundredth
square inch, in?

Answer 1

The surface area of a cone with a radius of 3 inches and a slant height of 7 inches is approximately 94.2 square inches when rounded to the nearest one-hundredth.

Step-by-step explanation:

The surface area of a cone is calculated using the formula S = π r(h + r). For a cone with a radius r = 3 inches and a slant height h = 7 inches, the surface area calculation would be as follows:

S = π × 3 × (7 + 3)

S = π × 3 × 10

S = 30π

Using π approximately equal to 3.14, the calculation would be:

S ≈ 3.14 × 30

S ≈ 94.2 square inches (rounded to the nearest one-hundredth).

The calculated surface area of the cone is therefore approximately 94.2 square inches.