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bamozer152
15.12.2019 •
Mathematics
The volume of a cylinder cone and sphere are shown below. the three figures have the same radius. the cylinder and the cone have the same height with h = r.
if the volume of the cone is 36 cubic units, what are the volumes of the cylinder and sphere? explain your answer.
answers: cylinder: units
sphere: units
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Ответ:
Part 1) The volume of the cylinder is![V=108\ units^{3}](/tpl/images/0419/5593/05713.png)
part 2) The volume of the sphere is![V=144\ units^{3}](/tpl/images/0419/5593/8d821.png)
Step-by-step explanation:
step 1
Find the radius of the cone
we know that
the volume of the cone is equal to
we have
substitute and solve for r
step 2
Find the volume of the cylinder
we know that
the volume of the cylinder is equal to
we have
substitute
substitute the equation A in the formula above
step 3
Find the volume of the sphere
we know that
The volume of the sphere is equal to
substitute the equation A in the formula above
Ответ: