Question

Find the volume and surface of the cylinder

Thanks​

Answer 1

Volume = 192π mm^3
Surface Area = 174π mm^2

Explanation:

First, let's find the volume of the object. Because we know the radius of the cylinder, we can use the equation πr² to find the area of the circle. That gives us 64π, and all we have left to do is multiply by the height of the object which is 3. This gives us an area of 192π.

Next, let's find the surface area. To find the SA around the cylinder, we'll find the circumference of the circle then multiply by the height. 2πr for the circumference of the circle gives us 16π, and multiplying by the height gives us 48π. All that's left to do is add the area of the top and bottom circle which we've already determined to be 64π (multiply it by 2 because there are 2 circles) 48π+128π is 174π, which is our final Surface Area.

Answer 2

552.64
`mm^(2)`

Explanation:

base area is a circle, so

base=
`\pi r^(2)`=3.14x
`8^(2)`=200.96
`mm^(2)`

c=
`2\pi r`=2x3.14x8=50.24

surface =2 x base +c x height=2x200.96+50.24x3

=401.92+150.72

=552.64
`mm^(2)`