Question

i am working on high school geometry, i have to find the lateral and total surface areas of a cylinder with a base area of 169(pi) and a height that is 2 times the radius, i have been trying to solve the base area equation by setting it equal to 2(pi)raduis squared but i am stuck... help pleassseee?

Answer 1

please help!

Answer 2

thank you

Answer 3

ok so the area of the base is 169pi

Answer 4

so what do they mean by base area?

Answer 5

do they mean the area of the circle at the bottom?

Answer 6

yes

Answer 7

well the bottom of a cylinder is a circle

Answer 8

the area of a circle is pi*r^2

Answer 9

so pi*r^2 = 169pi

Answer 10

r^2 = 169pi/pi = 169

Answer 11

r = sqrt(169) = 13

Answer 12

if the height is 2*r, then the height is 2*13 = 26

Answer 13

you should be able to get the total surface area, volume, etc... from there

Answer 14

does that make sense?

Answer 15

Very smart, superduper

Answer 16

yes! thank you so much!

Answer 17

yay! thanks preetha