Find the height of the cylinder?

Question

briana.img · Answer

attachment

briana.img · Answer

need help :( 
steps?

campbell_st · Answer

what is the radius of the cylinder..?

campbell_st · Answer

find the radius of the cylinder is the 1st step to finding the height of the cylinder

briana.img · Answer

@campbell_st yeah it's 7

soo 461.8= 2(49pi) + hpi ???

campbell_st · Answer

well the surface area formula is

$$SA = 2\pi r^2 + 2 \pi r h$$

with r = 7 

$$461.8 = 2\times  \pi \times 7^2 + 2 \times \pi \times 7 \times h$$

subtracting the area of the  circles from both sides 

$$461.8 - 98\pi = 14\pi h$$

divide both sides by 14 pi

$$h = \frac{461.8 - 98\pi}{14\pi}$$

now you can calculate the value of h

briana.img · Answer

@campbell_st got 3.4! thanks for the steps 
i'll look at this next time i need help on it again!

anonymous · Answer

Round[ 3.49968, 0.1] = 3.5