What is the surface area, in square inches, of a cone with a radius of 10 inches and a slant height of 15 inches? Use 3.14 for pi.(1 point)

Question

1,177.5 square inches 1,177.5 square inches 2,198 square inches 2,198 square inches 785 square inches 785 square inches 471 square inches

Answer 1

To calculate the surface area of a cone, you can use the formula:

\[ \text{Surface Area} = \pi r (r + l) \]

where \( r \) is the radius, \( l \) is the slant height, and \( \pi \) is approximately 3.14.

For a cone with a radius of \( 10 \) inches and a slant height of \( 15 \) inches, we can substitute these values into the formula:

1. Calculate \( r + l \):

\[ r + l = 10 + 15 = 25 \]

2. Now plug \( r \) and \( r + l \) into the formula for surface area:

\[ \text{Surface Area} = 3.14 \times 10 \times 25 \]

3. Performing the multiplication:

\[ \text{Surface Area} = 3.14 \times 250 = 785 \]

Thus, the surface area of the cone is:

\[ \text{Surface Area} = 785 \text{ square inches} \]

So, the answer is 785 square inches.