Which statement best explains whether △ABC is similar to △DEF?
1 answer:
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To calculate the volume of this figure, we just have to find the volume of the hemisphere and the volume of the cone, then sum them up.
The volume of a hemisphere (the half of a sphere) is given by the formula:
Where r is the radius.
The volume of a cone is given by the formula:
Where h is the height of the cone.
From the figure we have:
r = 5.3in
h = 9 in
Then, when we substitute these values into the above formulas, we get:
For the hemisphere:
The volume of the hemisphere is 311.6in^3
For the cone:
As mentioned, the volume of the whole figure is the sum of the volume of the cone and the volume of the hemisphere, then, the volume of the figure is:
V=311.6in^3 + 264.7in^3 = 576.3in^3
Then, the correct answer is option A
