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Schach [20]
3 years ago
8

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The he

ight of the cone is 14 millimeters. What is the volume of the composite figure? Express the answer in terms of π.
Mathematics
2 answers:
Flauer [41]3 years ago
5 0

Answer:

312π mm^2

Step-by-step explanation:

to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.

The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:

V = 1/3 * (6) ^ 2 * (14) = 168π  mm^2

The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:

V = 4/3 * π * (6) ^ 3 = 288π  mm^2

but since you only have half the sphere

V = 288π / 2 = 144π  mm^2

then the total volume is

Vt = 168π + 144π = 312π mm^2

garik1379 [7]3 years ago
4 0

Answer:

C. 312π mm3

Step-by-step explanation:

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Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.

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Step-by-step explanation:

step 1

let  x represent Adults

AND y represent children

Since the theater seats 250 people we have that

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and  price children ticket =$8

With total sales at $2,300, we have that

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Step 2

Making y subject in equation 1

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100+y=250

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y=150

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