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➷ Formula for volume of cone:
1/3 [tex]\pi r^2*h[/tex]
Substitute the values in:
1/3 [tex]\pi (2)^2*9[/tex]
Leave it in terms of pi:
volume of the cone = 12[tex]\pi[/tex]
A hemisphere is half of a sphere so we use the formula for volume of a sphere and halve it.
volume of hemisphere = (4/3[tex]\pi r^3[/tex]) / 2
Substitute the values in:
(4/3[tex]\pi (2)^3[/tex]) / 2
Leave it in terms of pi:
volume of the hemisphere = 16/3[tex]\pi[/tex]
Now add the two volumes together:
12[tex]\pi[/tex] + 16/3[tex]\pi[/tex] = 52/3[tex]\pi[/tex]
The two answers would be : 52/3[tex]\pi[/tex] cm^3 and 54 cm^3
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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