Area of the watermelon

Calculus Level pending

A watermelon is sliced in 16 parts, all with the same size. Assuming the watermelon is a perfect sphere and its diameter is 40 cm. Find the volume of each slice.

\frac \pi{16} \text{ cm}^3

\frac {\pi^3}{16} \text{ cm}^3

\frac {40^3}{16} \pi \text{ cm}^3

\frac {2000}3 \pi \text{ cm}^3

\frac {40}{16} \pi \text{ cm}^3

2 solutions

Beppe Marinelli
Aug 31, 2016

The area of the circle is : $\frac { 4 }{ 3 } \pi { r }^{ 3 }$ , with the datas we have : $\frac { \frac { 2000\pi }{ 3 } { cm }^{ 3 } }{ 16 }$ . The result is nearly the same as ${ \frac { 2000\pi }{ 3 } { cm }^{ 3 } }$ = $2094,3{ cm }^{ 3 }$

Michael Mendrin
Sep 1, 2016

There has to be a denominator of $3$ , since there's no way that $3$ can be cancelled with a radius that doesn't have a factor of $3$ .

You should divide ${ \frac { 2000\pi }{ 3 } { cm }^{ 3 } }$ for 16 parts = $\frac { 2000\pi }{ 3\quad \ast \quad 16 } { cm }^{ 3 }$

Beppe Marinelli - 4 years, 9 months ago

What I am saying, that's the only possible answer because it's got a denominator containing the factor $3$ .

Michael Mendrin - 4 years, 9 months ago

Area of the watermelon

2 solutions

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