Question

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

@satellite73 @mony01

Answer 2

@roz_mar23@iGreen

Answer 3

@iGreen

Answer 4

h = V/(3.14r²)

Answer 5

H=V/(3.14R^2)

Answer 6

H=170/(3.14*2.5^2)

Answer 7

@Synquence did u get it?

Answer 8

No @roz_mar23

Answer 9

The formula for height is H=V/(3.14R^2)
Plug in the radius for R and volume of water for V

Answer 10

Oh okay, one sec

Answer 11

Volume of a Cylinder:

\(V = \pi r^2 h\)

Answer 12

Thanks also mate @iGreen i got it 8.66

Answer 13

We are given:

Radius = 2.5

Volume = 170

Now let's solve for \(h\).

\(V = \pi r^2 h\)

Plug in what we know:

\(170 = (3.14) (2.5)^2 h\)

Simplify Exponent:

\(170 = (3.14) (6.25) h\)

Multiply:

\(170 = 19.625 h\)

Divide 19.625 to both sides, what's 170 / 19.625? @Synquence

Answer 14

Yep, that's right. @Synquence