Answer:
5. 3050ft³ (rounded to 3 s.f.)
6. 4190ft³(rounded to 3 s.f.)
7. 4600ft³(rounded to 3 s.f.)
Formulas (For easier reference):
Volume of a cone: pi×r²×
![(h)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tfhzlvfir9e7a590nudcc00jsu6dchrgx0.png)
Volume of cylinder: pi×r²×h
Volume of a sphere:
×pi×r³
Volume of a hemisphere:
×pi×r³
Explanation:
You can just apply the formulas to the question:
5. Volume of cone = pi×9²×
![((16-10))/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/bfs4hcvee95ml16sn5vuu4w6txsv1nygwk.png)
= 162pi
Volume of cylinder = pi×9²×10
= 810pi
Volume of figure = 162pi+810pi
= 972pi
= 3050ft³ (rounded to 3 s.f.)
6. Volume of sphere =
×pi×10³
= 1333
pi
= 4190ft³(rounded to 3 s.f.)
7. Volume of hemisphere =
×pi×(26÷2)³
= 1464
pi
= 4600ft³(rounded to 3 s.f.)