There are 28 seats in the front row of a theater. Each successive row contains
2 answers:
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Answer:
The volume of the cylinder is 2.1 times the volume of the pyramid
Step-by-step explanation:
step 1
Find the volume of the pyramid
we know that
The volume of a right pyramid is equal to
where
B is the area of the base of pyramid
H is the height of the pyramid
we have
substitute
step 2
Find the volume of the right cylinder
we know that
The volume of right cylinder is equal to
where
B is the area of the base of cylinder
H is the height of the cylinder
we have
substitute
step 3
Compare the volumes
we know that
The area of the base both figures are congruent
Find the ratio of their volumes
substitute
Simplify
therefore
The volume of the cylinder is 2.1 times the volume of the pyramid