5. The surface area of a cylinder varies jointly as the radius and the sum of the radius and the height. A cylinder with a height of 8 cm and a radius of 4 cm has a surface area of 961. What is the surface area of a cylinder with a radius of 3 cm and a height of 10 cm?
Answers & Comments
CYLINDER
I don't understand it but, Hope it helps!
It is given that the area A of a cylinder varies jointly as the radius r and the sum of the radius and height
and
when
and
, therefore
Thus, the general equation is![A = 2\pi r(r + h) A = 2\pi r(r + h)](https://tex.z-dn.net/?f=A%20%3D%202%5Cpi%20r%28r%20%2B%20h%29)
Since
and
, therefore,
Hence, the surface area of the cylinder with radius
and height
is
.
#CarryOnLearning