4 years ago

Question 9

Mathematics

1 answer:

Stels [109]4 years ago

6 0

Answer:

Correct option: second one -> 141.3 cm3

Step-by-step explanation:

To find the volume, we can calculate the volume of two separates parts (one half sphere and one cone) and then sum the volumes.

Volume of half sphere:

V1 = (2/3) * pi * r^3

The radius is 3 cm, so:

V1 = (2/3) * pi * 3^3 = 56.5 cm3

The volume of the cone is:

V2 = (1/3) * pi * r^2 * h

The radius is 3 cm and the height is 9 cm, so:

V2 = (1/3) * pi * 3^2 * 9 = 84.8 cm3

Then, the total volume is:

V = V1 + V2 = 56.5 + 84.8 = 141.3 cm3

Correct option: second one

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