Bot GPT 4-o mini The surface area \( S \) of a cylinder is calculated using the formula:
\[ S = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- \( r = 5 \) inches,
- \( h = 10 \) inches.
First, substitute the values into the formula:
\[ S = 2 \times 3.14 \times 5(10 + 5) \]
Calculating the expression step-by-step:
- Compute \( h + r \):
\[ h + r = 10 + 5 = 15 \]
- Now plug this back into the equation:
\[ S = 2 \times 3.14 \times 5 \times 15 \]
- Calculate the multiplication:
\[ 5 \times 15 = 75 \]
- Now multiply by \( 3.14 \):
\[ 2 \times 3.14 \times 75 \]
- Calculate \( 2 \times 3.14 = 6.28 \):
\[ 6.28 \times 75 = 471 \]
Thus, the surface area of the cylinder is \( 471 \) square inches.
The correct response is:
471 square inches.
1 answer