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3 years ago

What is the diameter of a hemisphere with a volume of 257 m^3

Mathematics

1 answer:

Alex73 [517]3 years ago

4 0

Answer:

9.9

Step-by-step explanation:

\text{Volume of Hemisphere}\text{:}

Volume of Hemisphere:

\,\,257

257

\text{Volume of Sphere}\text{:}

Volume of Sphere:

\,\,514

514

Double volume of hemisphere to get volume of the entire sphere

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

πr

514=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

π)r

514=

\,\,(4.1887902)r^3

(4.1887902)r

Evaluate 4/3pi in calc

\frac{514}{4.1887902}=

4.1887902

514

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

Evaluate \frac{4}{3}\pi

π in calc

122.7084611=

\,\,r^3

\sqrt[3]{122.7084611}=

122.7084611

\,\,\sqrt[3]{r^3}

Cube root both sides

4.9692575=

\,\,r

\text{Then the diameter equals }9.938515

Then the diameter equals 9.938515

diameter is radius times 2

\text{Final Answer:}

Final Answer:

d\approx 9.9\text{ m}

d≈9.9 m

Round to nearest tenth

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2 years ago

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3 years ago

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2 years ago

Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moth

AveGali [126]

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

$Width = 5ft$

$Length = 4ft$

$Height = 8ft$

The second has the following dimension:

$Width = 3ft$ ---- see the last label at the top

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