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A hemispherical kettle has an inside diameter of 2.5 ft. Determine capacity (gal.)
Please check my calculations:
Hemispherical volume:
V = (4/3 * pi * r^3) / 2
V =- (1.333 * 3.1416 * 1.953) / 2
V = 4.08 cu. ft.
V = 4.08 * 7.48 = 30.5 = 31 gal.
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Amount
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Re: Amount
by Guest » Sat Nov 25, 2023 5:54 am
The formula for the volume of a hemisphere is
$V=\frac23\pi r^3$
That equals to approx. $8.18$ ft
$V=\frac23\pi r^3$
That equals to approx. $8.18$ ft
- Guest
Re: Amount
by Guest » Sat Nov 25, 2023 1:21 pm
2 * pi * r^3 / 3
2.5 ft. diameter.
2.5 / 2 = 1.25 radius.
2 * 3.1416 * 1.25 ^ 3 / 3
2 * 3.1416 * 1.95 / 3
4.08 cu. ft.
4.08 * 7.48 = 30.5 gal. (same answer).
Where did I miscalculate ?
2.5 ft. diameter.
2.5 / 2 = 1.25 radius.
2 * 3.1416 * 1.25 ^ 3 / 3
2 * 3.1416 * 1.95 / 3
4.08 cu. ft.
4.08 * 7.48 = 30.5 gal. (same answer).
Where did I miscalculate ?
- Guest
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