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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.
The area of a square is 64 cm 2 . What is the length of one side of the square? To find out the area of a square, you multiply the length of a side through itself, because all
Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c} Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte
Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.
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what is the lowest term of 11/121
mulply # fraction
Beals Conjecture
Here we have considered the following points. 1. Mathematics is omnipresent, powerful and beautiful. 2. Mathematics is useful in all spheres of life. 3. Mathematics can al
three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.
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