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defon
2 years ago
15

The diagram shows a solid shape.

Mathematics
1 answer:
Stolb23 [73]2 years ago
6 0

Answer:

756\pi

Solution,

Volume of cone=270 pi cm^3

\frac{1}{3} \pi \:  {r}^{2}  = 270\pi \\ or \:  {r}^{2}  \times 10 =   270 \times 3 \\ or \:  {r}^{2}  \times 10 = 810 \\ or \:  {r}^{2}  =  \frac{810}{10}  \\ or \:  {r}^{2}  = 81 \\ or \: r =  \sqrt{81}  \\ or \: r =  \sqrt{ {9}^{2} }  \\ r = 9 \: cm

Volume of semisphere:

\frac{2}{3} \pi {r}^{3}  \\  = \:  \frac{2}{3}  \times \pi \times 9 \times 9 \times 9 \\  = 486\pi

Total:

270\pi + 486\pi \\  = 756\pi

hope this helps...

Good luck on your assignment..

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