Question
An edge of a variable cube is increasing at the rate of
2 cm/s. How fast is the volume of the cube increasing when the edge is 12 cm long?Solution
Let x be the length of a side and V be the volume of the cube. Then, v = x3. dV/dt = 3x2 × dx/dt It is given that dx/dt = 2 cm/s dv/dt = 3x2(2) = 6x2 Thus, when x = 12 cm dv/dt = 6 (12)2 = 864 cm3/s
In the question below, three sentences are given, each divided into four parts, which may or may not contain grammatical errors. From the options, choo...
In the following questions, each sentence is divided into four parts, which are labelled a, b, c, and d, one of these parts may contain an error. If th...
We raced hurriedly (1) up gravel (2) hillsides with stomach- churning (3) vertiginous views (4) all around.
...Each boy was given (a) / a toy as a parting gift, (b) / which made them happy. (c) / No error (d)
Read the given sentence to find out whether there are any grammatical/contextual errors in it. The errors, if any, will be in two of the phrases of the...
Find the appropriate answer.
Everyone knows that (1)/ the Earth revolves around the sun, (2)/ but there are still some people (3)/ who denies it. (4)
The postman travelled by the cycle, often wading through (1)/ swamps or passed through jungles (2)/in order to reach the villages (3)/ No error (4)
They also lay claim to being the only brothers to finish first and second in the same race.
If we evince a little interest and involvement in our neighbourhood, we will discover a exciting world.
Relevant for Exams:
