Question
Surface area of cones quick check
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
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
Answers
Answered by
GPT-4o mini
The surface area \( A \) of a cone can be calculated using the formula:
\[
A = \pi r (r + l)
\]
where:
- \( r \) is the radius of the base,
- \( l \) is the slant height.
Given:
- \( r = 10 \) inches,
- \( l = 15 \) inches,
- \( \pi \approx 3.14 \).
Now, substituting the values into the formula:
\[
A = 3.14 \times 10 \times (10 + 15)
\]
\[
A = 3.14 \times 10 \times 25
\]
\[
A = 3.14 \times 250
\]
\[
A = 785
\]
Therefore, the surface area of the cone is \( 785 \) square inches.
\[
A = \pi r (r + l)
\]
where:
- \( r \) is the radius of the base,
- \( l \) is the slant height.
Given:
- \( r = 10 \) inches,
- \( l = 15 \) inches,
- \( \pi \approx 3.14 \).
Now, substituting the values into the formula:
\[
A = 3.14 \times 10 \times (10 + 15)
\]
\[
A = 3.14 \times 10 \times 25
\]
\[
A = 3.14 \times 250
\]
\[
A = 785
\]
Therefore, the surface area of the cone is \( 785 \) square inches.
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