The cross-sectional areas of a right pyramid and a right cylinder are congruent. the right pyramid has a height of 10 units, and the right cylinder has a height of 7 units. which conclusion can be made from the given information?

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

Volume of right cylinder =2.1 times the volume of right pyramid

Step-by-step explanation:

We are given that Cross-sectional area of right pyramid and a right cylinder are congruent.

The height of pyramid =10 units

The height of right  cylinder =7 units

We have to find the conclusion that can be made from given information.

We know that Volume of right cylinder =

Volume of right pyramid =

Where B=Area of base of pyramid

Volume of right  cylinder =

We know that base area of right cylinder=B =

Therefore, volume of cylinder =

Volume of right pyramid =

Volume of right pyramid =

We are given that cross section area  of right pyramid is congruent to  cross section area of right cylinder

==2.1

Volume of right cylinder =2.1 times the volume of right pyramid

Therefore, the conclusion is volume of cylinder is 2.1 times the volume of pyramid .

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step-by-step explanation:

9-15%

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step-by-step explanation: