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If the radius of a sphere is doubled, the surface area is
a. multiplied by 4.
b. multiplied by 2.
c. multiplied by 3.
d. multiplied by 8.
a. The formula for the surface area of a sphere is 4πr2. If the radius is doubled, this implies that the radius is also doubled. The formula then becomes 4π(2r)2. Solve this expression, 4π(4r2) equals 16πr2. Compare 4πr2 to 16πr2; 16πr2 is 4 times greater than 4πr2. Thus, the surface area is four times as great.
Prove that a simple graph is connected if and only if it has a spanning tree. Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G.
show that one of the straight lines given by ax2+2hxy+by2=o bisect an angle between the co ordinate axes, if (a+b)2=4h2
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9:59 p.m. to 10:45 p.m
what is algebra
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