Question

MEDAL!!!
A glass vase is shaped like a cylinder and has a radius of 2.5 inches. The vase holds 170 cubic inches of water. How tall is the vase? Use 3.14 for pi. Round your answer to the nearest hundredth.
8.66 inches
9.78 inches
10.35 inches
12.50 inches

Answer 1

vollume = pi * radius^2 * height

you are given the radius and volume. use the equation to solve for height

Answer 2

you are allowed to ask questions if you do not understand

Answer 3

WOULD THE VOLUME BE 170?

Answer 4

yes!

do you know how to solve for height now?

Answer 5

no :(

Answer 6

let's take a look at our equation

volume = pi * radius^2 * height

now let's replace

"volume" with 170 and "radius" with 2.5

Answer 7

170 = pi * (2.5)^2 * height

Answer 8

Yes, the volume of the cylinder is 170 cubic inches.

Your job is to solve for 'height:' 170 = pi * (2.5)^2 * height

Answer 9

170 cubic inches = pi * (6.25 square inches) * height. Solve for height.

Answer 10

@sstradic

since we have "height" multiplied by pi and 6.25, we want to "undo" the multiplication to get "height" by itself

what's the opposite of multiplication?

Answer 11

division(:

Answer 12

good, so we divide both sides by 6.25 and pi

Answer 13

therefore height = 170/(6.25 * pi) = ?

Answer 14

I got 8.66 thank you so much!