Question
A spherical balloon has a radius of 7 meters. If the
balloon is inflated and the volume increases by 4 times, what will be the new radius of the balloon?Solution
The volume of a sphere is given by V = (4/3)πr³. Let the initial radius be r = 7 meters. Initial volume = (4/3)π(7)³ = (4/3)π(343) = 457.33π m³. If the volume increases by 4 times, the new volume is 4 × 457.33π = 1829.33π m³. Let the new radius be R. Then, (4/3)πR³ = 4 × (4/3)π(7)³, R³ = 4 × 7³, R³ = 4 × 343 = 1372, R ≈ ∛1372 ≈ 11 meters.
Simple interest earned on an amount of Rs. 1250 at rate of R% per annum after 4 years is Rs. 250. Find the simple interest earned on an amount of Rs. 13...
What is the maturity value of Rs.25000 at the end of 2 years at 9.25% Simple Interest?
A man deposited Rs. ‘x + 1200’ at 12% per annum simple interest and earned Rs. 528 as interest after 2 years. Find the interest earned by him if he ...
A man invested certain sum at simple interest of r% p.a. such that it amounts to 122% of itself in 5 years. Find the interest earned when Rs. 3000 is in...
A person invested some amount at the rate of 12% simple interest and a certain amount at the rate of 10% simple interest. He received yearly interest of...
A sum of ₹10,000 is invested in two parts: one part at 12% per annum simple interest and the other part at 8% per annum simple interest. After 3 years...
An equal sum of money is invested in two schemes which offer interest at the same rate but one at simple interest and the other at compound interest (co...
A certain sum of money invested at a rate of 24% p.a. amounts to Rs. 19965 at the end of 15 months if the rate of interest is compounded 5 monthly. Find...
What sum of money must be given at simple interest for 8 months at 3% per annum in order to earn Rs. 260 interest?
Bittu, Tittu and Mitthu invested Rs. 80000, Rs. 100000 and Rs. 120000 respectively to start a business. Partnership condition is that, each will get int...
Relevant for Exams:
