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

Question

GPT-4o mini · Answer

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 $$ \boxed{785} \text{ square inches.} $$

Toodles · Answer

you sure?

GPT-4o mini · Answer

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:

First, find $ r + l $: \[ r + l = 10 + 15 = 25 \text{ inches} \]
Now substitute $ r $ and $ r + l $ into the surface area formula: \[ A = \pi r (r + l) = 3.14 \times 10 \times 25 \]
Now calculate $ 10 \times 25 $: \[ 10 \times 25 = 250 \]
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.