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ublockmon786
08.07.2019 •
Mathematics
8. a right cone has a volume of 8,579 m3 and a radius of 16 m. find its altitude.
a. 32.0 m
b. 27.6 m
c. 2.7 m
d. 64.2 m
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Ответ:
Option A is correct.
Step-by-step explanation:
The formula used for finding the volume of right cone is:
Volume of Right cone = (1/3)π.r².h
We need to find altitude i.e h
Volume of cone=V = 8579 m^3
Radius=r = 16m
Altitude =h =?
Putting values,
8579 = (1/3) * 3.14 * (16)^2*h
8579 = 1/3 * 3.14 * 256 *h
8579 = 267.95 * h
=> h = 8579/267.95
h = 32.0 m
So, Altitude of right cone is 32.0 m
Option A is correct.
Ответ: