Answer:
(a) 22896π cm³
(b) 71929.9 cm³
Explanation:
You want the volume of a cone with radius 36 cm and height 53 cm.
(a) Exact volume
The volume of a cone is given by the formula ...
V = 1/3πr²h
Using the given radius and height, the volume is ...
V = 1/3(π)(36 cm)²(53 cm) = 22896π cm³
The exact volume of the cone is 22896π cm³.
(b) Approximate volume
Using 3.14159265 for π, we find the approximate volume to be ...
22896(3.14159265) ≈ 71929.9 . . . cm³
The approximate volume of the cone is 71929.9 cm³.
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Additional comment
The volume rounded to tenths has 6 significant figures. For this precision, a value of pi with at least 6 significant figures is required. (3.14 will not do.)
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