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Annette [7]
3 years ago
15

A sphere and a cone have the same volume. each figure has a radius of 3 inches.

Mathematics
1 answer:
Inessa [10]3 years ago
8 0
The volume of a sphere - \frac{4}{3} \pi r^3
The volume of a cone - \frac{1}{3} \pi r^2 h
r - radius, h - height

The sphere and the cone have the same volume and the radius is 3 inches.
\frac{4}{3} \pi \times 3^3=\frac{1}{3} \pi \times 3^2 \times h \ \ \ |\div \pi \\
\frac{4}{3} \times 27=\frac{1}{3} \times 9 \times h \\
36=3h \ \ \ |\div 3 \\
h=12

The height of the cone is 12 inches.
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Answer:

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Step-by-step explanation:

Let x be the the total inventory.

We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.

We can set an equation such that 20% of x equals $35,000.

\frac{20}{100}\cdot x=\$35,000

0.20x=\$35,000

\frac{0.20x}{0.20}=\frac{\$35,000}{0.20}

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Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.

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Therefore, $140,000 of the inventory on the selling floor.

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