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jeka57 [31]
3 years ago
13

I need help with this whole math page

Mathematics
1 answer:
Alex3 years ago
6 0
Top would be 12 tablespoons of sugar
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The cross-sectional areas of a right pyramid and a right cylinder are congruent. The right pyramid has a height of 10 units, and
Ilia_Sergeevich [38]

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

V=\frac{1}{3}BH

where

B is the area of the base of pyramid

H is the height of the pyramid

we have

H=10\ units

substitute

Vp=\frac{10}{3}B\ units^{3}

step 2

Find the volume of the right cylinder

we know that

The volume of right cylinder is equal to

V=BH

where

B is the area of the base of cylinder

H is the height of the cylinder

we have

H=7\ units

substitute

Vc=7B\ units^{3}

step 3

Compare the volumes

we know that

The area of the base both figures are congruent

Find the ratio of their volumes

\frac{Vp}{Vc}

substitute

\frac{Vp}{Vc}=\frac{(\frac{10}{3}B)}{7B}

Simplify

\frac{Vp}{Vc}=\frac{10}{21}

21Vp=10Vc\\\\Vc=2.1Vp

therefore

The volume of the cylinder is 2.1 times the volume of the pyramid

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