Answer:
a) V = 35.1 in.^3
b) V = 288 pi in.^3
c) h = 2.7 in.
Step-by-step explanation:
a)
radius of base = 2 in.
height = 8 in.
volume of cone = (1/3)(pi)(r^2)h
V = (1/3)(pi)(2 in.)^2(8 in.)
V = 35.1 in.^3
You are correct.
b)
You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.
radius of base = 6 in.
height = 24 in.
volume of cylinder = (pi)(r^2)h
V = (1/3)(pi)(6 in.)^2(24 in.)
V = 288 pi in.^3
c)
volume = 288 pi in.^3
radius = 18 in.
288 pi in.^3 = (1/3)(pi)(18 in)^2 h
288 in. = (1/3)(324)h
288 in. = 108h
h = 2.666 in.
h = 2.7 in.
