Question

What is the surface area in sqaure inches of a cone with a radius of 10 in and a slant height of 15 icnhes? use 3.14 for pi

Answer 1

you sure?

Answer 2

The surface area \( A \) of a cone can be calculated using the formula:

\[
A = \pi r (r + l)
\]

where \( r \) is the radius, and \( l \) is the slant height. Given that the radius \( r = 10 \) inches and the slant height \( l = 15 \) inches, we can substitute these values into the formula.

First calculate \( r + l \):

\[
r + l = 10 + 15 = 25 \text{ inches}
\]

Now, use the formula for the surface area:

\[
A = \pi r (r + l) = 3.14 \times 10 \times 25
\]

Now calculate \( 10 \times 25 \):

\[
10 \times 25 = 250
\]

Multiply by \( \pi \):

\[
A = 3.14 \times 250 = 785
\]

Thus, the surface area of the cone is

\[
\boxed{785} \text{ square inches.}
\]

Answer 3

Let's go through the steps one more time to ensure accuracy for the surface area calculation of the cone.

The formula for the surface area of a cone is:

\[
A = \pi r (r + l)
\]

where:
- \( r \) is the radius of the base of the cone,
- \( l \) is the slant height.

Given:
- \( r = 10 \) inches,
- \( l = 15 \) inches,
- we'll use \( \pi \approx 3.14 \).

Let's compute again:

1. First, find \( r + l \):
\[
r + l = 10 + 15 = 25 \text{ inches}
\]

2. Now substitute \( r \) and \( r + l \) into the surface area formula:
\[
A = \pi r (r + l) = 3.14 \times 10 \times 25
\]

3. Now calculate \( 10 \times 25 \):
\[
10 \times 25 = 250
\]

4. Then, calculate \( 3.14 \times 250 \):
\[
3.14 \times 250 = 785
\]

So, the surface area of the cone is indeed:

\[
\boxed{785} \text{ square inches.}
\]

The calculation is correct! If you have further questions or need more assistance, feel free to ask.