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yKpoI14uk [10]
3 years ago
12

a spherical container has surface area of about 5,538.96 square centimeters. what is the volume lf the container? use 3.14 for p

i, and round to the nearest hundredth
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Answer:

The volume of the container is 38,772.72\ cm^{3}

Step-by-step explanation:

step 1

Find the radius of the sphere

we know that

The surface area of a sphere is equal to

SA=4\pi r^{2}

we have

SA=5,538.96\ cm^{2}

\pi=3.14

substitute the values and solve for r

5,538.96=4(3.14)r^{2}

r^{2}=5,538.96/[4(3.14)]

r^{2}=441

r=21\ cm

step 2

Find the volume of the container

The volume of the sphere (container) is equal to

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

we have

r=21\ cm

\pi=3.14

substitute the values

V=\frac{4}{3}(3.14)(21)^{3}=38,772.72\ cm^{3}

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We have been given two ratios and we are supposed to compare our ratios whether they are proportional or not.

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During the school year, a bus driver made 7 trips to the museum. The distance from the school to the museum is 36 miles. Write a
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Given:

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Distance from the school to the museum = 36 miles.

To find:

Write and solve equations to find how many miles the bus driver drove for the 7 trips.

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