A)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) Responses 785 square inches 785 square inches 2,198 square inches 2,198 square inches 1,177.5 square inches 1,177.5 square inches 471 square inches

To calculate the surface area of a cone, we 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.

Given:

• Radius \( r = 10 \) inches
• Slant height \( l = 15 \) inches

Now, substituting these values into the formula:

\[ \text{Surface Area} = 3.14 \times 10 \times (10 + 15) \]

Calculating inside the parentheses first:

\[ 10 + 15 = 25 \]

Now, substituting back into the formula:

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

Calculating \( 10 \times 25 \):

\[ 10 \times 25 = 250 \]

Now, substitute this value into the area calculation:

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

Calculating this gives:

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

So the surface area of the cone is 785 square inches.