What percentage increase in the radius of a sphere will c...
What percentage increase in the radius of a sphere will cause its volume to increase by 45%?
13%
15%
23%
25%
Correct answer is A
Let the original volume be V with radius r.
V=43πr3
45% increased volume = 145%V.
Let the %age increase in radius = m%r
145100V=43π(mr100)3
1.45V=(43πr3)(m100)3
1.45V=V(m100)3
⟹1.45×106=m3
m=3√1.45×106=113.2
∴
\approxeq 13%
Determine the coefficient of x^{2} in the expansion of (a + 3x)^{6}...
A straight line 2x+3y=6, passes through the point (-1,2). Find the equation of the line. ...
Calculate the standard deviation of 30, 29, 25, 28, 32 and 24. ...
Find the coordinates of the point in the curve y = 3x^2 - 2x - 5 where the tangent is parallel t...
A function f is defined by f :x→\frac{x + 2}{x - 3},x ≠ 3.Find the inverse of f&...
Given that y = x(x + 1)^{2}, calculate the maximum value of y....
If 2\sin^{2} \theta = 1 + \cos \theta, 0° \leq \theta \leq 90°, find the value of \(\the...
Which of the following is the semi- interquartile range of a distribution? ...
Simplify \frac{\sqrt{3}}{\sqrt{3} -1} + \frac{\sqrt{3}}{\sqrt{3} + 1}...