Respuesta :
Answer:
[tex]1308.33 {mm}^{3} [/tex]
Step-by-step explanation:
The volume of the composite shape is given by:
Volume of cylinder +volume of two spheres.
The volume of cylinder
[tex] = \pi \: {r}^{2} h[/tex]
We substitute r=5mm and h=10mm
The volume cylinder becomes
[tex] = \pi \: \times {5}^{2} \times 10 \\ = 250\pi[/tex]
[tex] = 250 \times 3.14 \\ = 785 {mm}^{3} [/tex]
The volume of the two hemispheres
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
We substitute the radius to get:
[tex] = \frac{4}{3} \times \pi \times {5}^{3} \\ = 523.33 {mm}^{3} [/tex]
We add the two volumes to get:
[tex] = 785 + 523.33 = 1308.33 {mm}^{3} [/tex]
Answer:
the answer is c
Step-by-step explanation:
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