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Can a 3 X 4 matrix be multiplied by a 4 X 1 matrix?
Yes. If one matrix is p*q and another is r*s then they can be multiplied if and only if q = r and, in that case, the result is a p*s matrix.
What is 4 multiplied by pie multiplied by r?
approx 12.5664r
Given a sphere with radius r what does the formula represent?
Do you mean volume or surface area? volume = 4/3 x pi x r^3 (four divided by three, multiplied by pi, multiplied by radius cubed). surface area = 4 x pi x r^2 (four multiplied by pi, multiplied by radius squared).
What happens to circumferences and areas when the radius of circle is multiplied by some number x?
The circumference of a circle is 2 * pi * r. If you multiple r by x you get 2 * pi * (r * x) which is the same as x * (2 * pi * r). So the circumference is multiplied by x. The area of a circle is pi * r2. Multiply r by x and you get pi * (rx)2 which is the same is (pi * r2) * x2. So the area gets multiplied by x2.
Volume of cylindrical solid?
πr2h or the radius squared multiplied by pi multiplied by the vertical height of the cylinder.
