Answer:
96×pi ft³
Step-by-step explanation:
by the way, it is totally easy to search for formulas on the internet.
the volume of a cone is
Vc = pi×r²×height/3
we have been given the slant height (10 ft) and the lateral "wall" area of the cone (60×pi ft²).
this wall area is
Aw = pi×r×slant height
60×pi = pi×r×10
60 = r×10
6 = r
so, now we know r fuer the volume formula, and we need the height of the cone (the inner one).
we use Pythagoras
10² = r² + height²
100 = 36 + height²
height² = 64
height = 8 ft
so, now we use the main formula for the volume
Vc = pi×r²×height/3 = pi×6²×8/3 = pi×36×8/3 = pi×12×8 =
= 96×pi ft³
cubic feet ! it is a volume !
