A cylinder has a radius of 4 in. If the volume of the cylinder is 48 in 3, what is the height of the?

Question

cylinder?

Answer 1

V = 48 = rrR²h, with R = 4 in and h = ?
V = 3,14*4².h
48 = 3,14 * 16h
48 : 16 = 3,14rh
3 : 3,14 = h
h = 0,96 in
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Answer 2

Recall that the volume of a cylinder is given by the formula

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

But we're given V (it's 48), and r (it's 4). All we have to do is plug in those values, and then solve for h.

48 = (pi)(4^2)(h), or
48 = (pi)(16)(h), which simplifies to
48 = 16(pi)h. We want to isolate h, so we divide both sides by (16)pi, giving us

48/[16pi] = h, which simplifies to
3/pi = h

Therefore, the height of the cylinder is 3/pi.
Remember to leave the height in its EXACT form and NEVER approximate unless the question specifically asks you to (i.e., solve the height to 4 decimal places). Keep it in the form 3/pi; it's exact.

Answer 3

A cyclinder is the shape of a tall glass. The formula for its volume is pi x r^2 x h. Plug in your numbers:

48 = pi x 16 x h
48 = 50.24 x h
48/50.24 = h
.955 = h

Hope that helps!

Answer 4

V=48=πr^2 h=π*16h
h=3/π=0.95"

Answer 5

.95 inch equals height