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topjm [15]
3 years ago
15

You are to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in. How much surface area must you cover with p

aint if 27 square inches does not need to be painted (to the nearest hundredth)?
_____sq. in.
Mathematics
2 answers:
Bas_tet [7]3 years ago
8 0

Answer:

319.36\text{ inch}^2

Step-by-step explanation:

We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.

First of all we will find the area of globe using area of sphere formula.

\text{Area of sphere}=4\pi r^2, where r represents the radius of sphere.

Since diameter is 2 times the radius, so the radius of our given globe will be:

r=\frac{10.5}{2}=5.25

\text{Area of globe}=4*\pi*5.25^2

\text{Area of globe}=4*\pi*27.5625

\text{Area of globe}=346.36059

Since 27 square inches does not need to be painted, so the area we must cover with paint will be:

346.36059\text{ inch}^2-27\text{ inch}^2=319.36059\text{ inch}^2

Upon rounding our answer to nearest hundredth we will get,

319.185\text{ inch}^2\approx 319.36\text{ inch}^2

Therefore, we must cover 319.36 square inches with paint.

zhannawk [14.2K]3 years ago
3 0
d=10.5\,\text{in}
\\
\\r= \frac{d}{2} = \frac{10.5}{2} =5.25\,\text{in}
\\
\\A= 4r^2\pi=4\times5.25^2\pi \approx 346.36 \text{ square inches}
\\
\\346.36-27=319.36\text{ square inches}
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