Question
A cube of maximum possible volume is cut from a sphere
of radius 5√3 cm. What is the ratio of the volume of a cube to that of the sphere?Solution
Diagonal of cube = Diameter of sphere √3 a = 2 (5√3) ∴ a = 10 cm Required ratio = volume of cube: volume of sphere = (10)³: 4/3 Ï€ (5√3)³ = 1000: 4/3 Ï€ × 125 × 3√3 = 2: √3 π Â
In the following number-pairs, the second mumber is obtained by applying certain mathematical operations to the first number. Which mumbers should repla...
Three statements are given, followed by four conclusions numbered I, II III and IV. Assuming the statements to be true, even if they seem to be at vari...
A, B, C, D, E, F, G and H are sitting in a circle facing the centre.
A is second to the right of E who is the neighbour of C and G
D is no...
By interchanging which two signs and two numbers (not digits) the equation will be correct?
8 – 4 × 9 + 6 ÷ 3 = 29
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
MAG, UHM, ?, KVY, SCE
Read the given statements and conclusions carefully. Assuming that the information in the statements is true, even if they appear to be at variance with...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
Select the option that will replace the question mark (?) in the figure given below to complete the pattern.
Â
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed ...
Which two signs should be interchanged to make the given equation correct?
729 × 9 – (56 – 6) × 5 ÷ 2 + 152 × 19 = 69
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