Question

Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2​ ​. The surface area of cylinder B is 3960cm2​ ​. Calculate the height of cylinder B

Answer 1

Answer:

$440 = 2\pi {r}^{2} + 2\pi(r)10$

$3960 = 2\pi {r}^{2} + 2\pi(r)h$

$\frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 }$

$9 = \frac{h}{10}$

h=90