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×
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×
= 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.)