Question

The radius of the base of a cylinder is 38 mm and its height is 51 mm. Find the surface area of the cylinder in terms of π.

A. 6713π mm2
B. 6726π mm2
C. 6764π mm2
D. 6853π mm2

Answer 1

C 6764
You need to find the total surface area which is 21249.73271
Then times each option (a,b,c,d) by pi to see if you get 21249.7321

Answer 2

`6764\pi`

Explanation:

3876
`\pi`

Explanation:

The Surface area of the Cylinder is given by the formula

`SA=2\pi r^2+2\pi rh`

Here we are given with the value of radius and the height as 38 mm and 51 mm.

Now we put the values of r and h in the above formula and evaluate he Surface Area

`SA= 2\pi*38^(2)+2\pi*38*51\\SA=2888\pi+2\pi*1938\\SA=2888\pi+3876\pi\\6764\pi`

Hence the Surface area is

`SA=6764\pi`