Question
given a cylinder with the height of 10cm and a base radius of 9cm. find the volume of this cylinder. A.2826 cm B.810cm C.2543.4 D.847.8
Answers
GPT-4o mini
To find the volume of a cylinder, you can use the formula:
\[
V = \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.
Given:
- Height \( h = 10 \) cm,
- Radius \( r = 9 \) cm.
Now, substituting the values into the formula:
\[
V = \pi (9)^2 (10)
\]
\[
V = \pi (81)(10)
\]
\[
V = 810\pi
\]
Now, using \( \pi \approx 3.14159 \):
\[
V \approx 810 \times 3.14159 \approx 2543.4 \text{ cm}^3
\]
Thus, the volume of the cylinder is approximately \( 2543.4 \text{ cm}^3 \).
The correct answer is **C. 2543.4**.
\[
V = \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.
Given:
- Height \( h = 10 \) cm,
- Radius \( r = 9 \) cm.
Now, substituting the values into the formula:
\[
V = \pi (9)^2 (10)
\]
\[
V = \pi (81)(10)
\]
\[
V = 810\pi
\]
Now, using \( \pi \approx 3.14159 \):
\[
V \approx 810 \times 3.14159 \approx 2543.4 \text{ cm}^3
\]
Thus, the volume of the cylinder is approximately \( 2543.4 \text{ cm}^3 \).
The correct answer is **C. 2543.4**.