Question

Danisha found the volume of the figure shown.Her work is shown below.
Analyze Danisha’s work for finding the volume of the composite figure. What was her mistake?
A) She should have found the volume for a cone instead of the volume of a sphere.
B) She used the wrong formula for the volume of the cylinder.
C) She did not halve the volume of the sphere to find the volume for the half sphere.
D) She needed to find the product of the volumes instead of the sum.

Answer 1

Answer: C, She did not have the volume of the sphere to find the volume for the half sphere

Step-by-step explanation:

there wasn't a volume

Answer 2

Option (C) She did not halve the volume of the sphere to find the volume for the half sphere is correct and the total volume of the figure is 504π in³

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the sphere:

= 4π(6³)/3

= 288π in³

The volume of the half-sphere:

= 288π/2

= 144π in³

The volume of the cylinder:

= π(6)²(10)

= 360π in³

Total volume =  144π + 360π = 504π in³

Thus, option (C) She did not halve the volume of the sphere to find the volume for the half sphere is correct and the total volume of the figure is 504π in³

Learn more about the volume here:

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