The formula for the volume of a cone is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the volume is given as 23 cubic inches and the radius is given as 1 inch. Plug these values into the formula and solve for h:
23 = (1/3)(3.14)(1^2)h
23 = (1/3)(3.14)(1)h
23 = (1.047)(h)
Simplify by multiplying:
23 = 1.047h
Divide both sides by 1.047:
h = 23/1.047
h ≈ 21.97 inches
Therefore, the height of the cup is approximately 21.97 inches.
If a cone-shaped water cup holds 23 cubic inches and has a radius of 1 inch, what is the height of the cup? Use 3.14 to for pi. Round your answer to the nearest hundredth. (4 points)
6.76 inches
18.56 inches
21.97 inches
23.00 inches
1 answer