Question
A Hemi sphere has a volume of 486Ï€ cubic units. What is
the radius of the sphere?Solution
The volume of a Hemi sphere is (2/3)πr ³ . So, (2/3)πr ³  = 486π. r ³ = 729 r = 9 units. Answer: (D)
The derivative of y = eË£ · cos(x) isÂ
Solve:  ∫[(x4 – 2x3 + x2 – 2x)/(x-2)] dx
The centroid of a triangle is located at the point (2, 4). If one vertex is at (0, 0) and another at (4, 0), find the coordinates of the third vertex.
In how many ways can 4 distinct books be distributed into 2 identical boxes such that no box is empty?
A giant circular wheel has a diameter of 63 metres. In how many revolutions will the wheel cover a total of 79.2 km?
The average age of three friends Maya, Nirmal, and Raju is 27 years. The age ratio of Nirmal to Raju is 9:5, and Maya is 11 years...
If sin(3θ) = cos(2θ), find θ.
The cost price of 21 mangoes is Rs.200. Because of bad quality of mangoes, the shopkeeper has to sell mangoes at a loss that is equal to selling price o...
Arun's average score across six subjects, including English and Mathematics, is recorded as 55. However, there was an error in reporting his marks for E...
A shopkeeper priced an article at 75% above its cost price and offered a 30% discount on it during the sale. Alternatively, if he had applied two consec...
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