Find the volume of a right circular cone that has a height of 9 m and a base with a circumference of 19.6 m. Round your answer t
o the nearest tenth of a cubic meter.
2 answers:
Answer:
V = 91.70 cubic meters
Step-by-step explanation:
The volume of a right circular cone
V = πr^2h/3
V - volume of the cone
π - pie
r - radius of the cone
h - height of the cone
Given
h - 9m
Circumference = 19.6m
Find radius
Circumference = 2πr
r = c/2π
c - 19.6
π - 3.142
r = 19.6/ 2*3.142
= 19.6/6.284
= 3.119m
Using the volume of a right circular cone
V = πr2h/3
V = 3.142 * 3.119^2 * 9/3
= 3.142 * 9.728 * 3
= 91.6976 cubic meter
Rounding to the nearest tenth cubic meter
V = 91.70 cubic meters
Answer:
91.7 m³
Step-by-step explanation:
V = 1/3 πr²h
2πr = 19.6
r = 19.6 / (2 x 3.14) = 3.12
V = 1/3 x 3.14 x 3.12² x 9 = 91.7
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