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×[tex]\frac{h}{3}[/tex]
Volume of cylinder: pi×r²×h
Volume of a sphere: [tex]\frac{4}{3}[/tex]×pi×r³
Volume of a hemisphere: [tex]\frac{2}{3}[/tex]×pi×r³
Step-by-step explanation:
You can just apply the formulas to the question:
5. Volume of cone = pi×9²×[tex]\frac{(16-10)}{3}[/tex]
= 162pi
Volume of cylinder = pi×9²×10
= 810pi
Volume of figure = 162pi+810pi
= 972pi
= 3050ft³ (rounded to 3 s.f.)
6. Volume of sphere = [tex]\frac{4}{3}[/tex]×pi×10³
= 1333[tex]\frac{1}{3}[/tex]pi
= 4190ft³(rounded to 3 s.f.)
7. Volume of hemisphere = [tex]\frac{2}{3}[/tex]×pi×(26÷2)³
= 1464[tex]\frac{2}{3}[/tex]pi
= 4600ft³(rounded to 3 s.f.)
