QuestionA cylinder has height 6 meters and radius 5 meters. Find the a. volume and b. surface area. Use 3.14 for. Do not round.

Question

asked May 28, 2023 210k views

1 Answer

Arcady Bob · Answer 1 · 2023-06-01T04:22:44+0000

Problem: A cylinder has a height 6 meters and a radius 5 meters. Find the a. volume and b. surface area. Use 3.14 for. Do not round.

Solution:

Remember that the volution of cylinder is given by the following equation:

$V\text{ =}\pi\text{r}^2h$

where r is the radius of the cylinder and h is the height of the cylinder. In this case, we have that:

$V\text{ =}\pi\text{r}^2h=\pi5^2\text{ x 6 = 150}\pi\text{ = 471.23}$

So we can conclude that the volume of the cylinder is 471.23

Now, for surface area, remember that the surface area for the cylinder is given by the following equation:

$V=2\pi r^2+\text{ }2\pi rh$

where r is the radius of the cylinder and h is the height of the cylinder. In this case, we have that:

$V=2\pi r^2+\text{ }2\pi rh\text{ = 2}\pi(5)^2\text{ + 2}\pi(5)(6)\text{ = 110}\pi\text{ = 345.57}$

So we can conclude that the surface area for the cylinder is 345.57