A solid metal cube with an edge length of 9 inches is melted down and reshaped into a sphere. Which of the following is the surf
ace area of the sphere to the nearest tenth of an inch?
A. 90.5 square inches
B. 254.5 square inches
C. 391.7 square inches
A. 574.8 square inches
2 answers:
Answer:
U6 L6: SA & Volume of Spheres Practice Test
1. A
2. A
3. B
4. B
5. C
6. B
7. B
8. B
9. A
10. D
Source: https://quizlet.com/289419213/surface-areas-and-volumes-of-spheres-practice-u6-l6-connexus-flash-cards/
The
solution would be like this for this specific problem:
729 = 4*pi * r^3/3
<span>
Multiply both sides by 3 </span>
<span>2185 = 4*pi*r3</span>
<span>Divide both sides by 4 pi.</span>
<span><span>173.9649681528662 = r3
r = </span>5.58239548</span>
A = 4 pi r^2
<span>A = 4 * 3.14 * 5.582395482</span>
<span>
A = 391.7 square inches</span>
The
surface area of the sphere to the nearest tenth of an inch is 391.7
square inches.
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For the distributive property, multiply the number outside the parentheses by each term inside the parentheses.
1/6 x 12s = 2s
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