Question

find the length of the diameter of a sphere with a volume of 3053.63ft^3

Answer 1

Formula is
\[V=\frac{4}{3}\pi r^3\]
\[r=\sqrt[3]{\frac{3}{4\pi} V}\]
2 radius = diameter
\[2r=d\]
so
\[\frac{d}{2}=\sqrt[3]{\frac{3}{4\pi} V}\]
\[d=2\sqrt[3]{\frac{3}{4\pi} V}\]

Answer 2

i got 48.5

Answer 3

\[V={{4\over3}\pi r^3}\]solve for \(r\):\[{3053.63\times{3\over4\pi}}=r^3\]\[r^3=14263.53\]\[r\approx24.25\]\[d=2r\]\[d=2(24.25)\]\[d=...?\]

Answer 4

yes that is correct :)\[d=48.5ft\]

Answer 5

but the answer is not right it gotta be one of these 18ft, 10.9ft, 21.8ft, 9ft

Answer 6

sorry i messed up the answer should be 38.61ft...either you wrote your question wrong or your answers are incorrect

Answer 7

Careful, use your calculator
\[\LARGE d=2(\sqrt[3]{\frac{3}{4\pi} V})\]

Answer 8

i used a calculator, put in exactly that, and I got \(\approx38.61ft\)

Answer 9

is it 21.8