Question
The radius of a cylinder is increased by 20%, and its
height is decreased by 10%. Find the percentage change in the volume of the cylinder.Solution
Let the initial radius be r and height be h. The initial volume is: V₁ = πr²h. New radius = 1.2r, new height = 0.9h. New volume: V₂ = π(1.2r)²(0.9h) = π(1.44r²)(0.9h) = πr²h × 1.296. Percentage change in volume: [(V₂ - V₁)/V₁] × 100 = [(1.296V₁ - V₁)/V₁] × 100 = 29.6%. Correct answer: c. 29.6% increase
Under common law principles on trusts (applied in Indian jurisprudence), Mr. W transfers property valued at ₹100 lakhs to Mr. X with the following cir...
Among the following which term is not defined under Section 3 of the Act______.
Consider the following statements regarding procedural safeguards under PCA, 1988:
Statement 1: A public servant cannot be arrested without prior...
The Codex Alimentarius is published in how many languages?
Which one of the following sections of Indian Evidence Act deals with relevancy of opinion as to digital signature?
Which of the following accurately describes the Authority's powers regarding the examination of re-insurance treaties under the Insurance Act?
Who is eligible for appointment as Governor?
In Shreya Singhalys Linion of India, the Supreme Court held that:
As per the provisions of the Specific Relief Act the Court _______________ specific performance of a part of a contract
Seller is entitled to rent from the property_____.
Relevant for Exams:
