Question
Given that the surface area of a sphere is 201.06 cm²,
calculate its volume.Solution
ATQ,
Surface area of sphere = 4 × π × radius²
So, 4 × (22/7) × radius² = 201.06
Or, radius² = 16.03
Or, radius = ± 4.0
But radius cannot be negative. So, radius = 4.0 cm
Volume of sphere = (4/3) × π × radius³
= (4/3) × (22/7) × 4.0³
= 268.19 cm³
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the...
A shopkeeper sells an item at a 10% loss. Had he sold it for 40 more, he would have gained 10%. Find the cost price of the item
46% of 375 – ?% of 450 = 6
One-fifth of a number is equal to two-fifths of 25% of another number. Determine the ratio of the two numbers.
Solve the equation:sin(x) + cos(x) = 2·sin(x + α). Then the value of α is:
Compute P(A∩B), if P(B) = 0.8 and P(AǀB) = 0.35
The ratio of ages of A and B is 4:3. If A is 5 years older than B, find the age of B.
A trader marks up the price of an article by 50% above the cost price. He then offers a discount of 20% on the marked price. What is his profit percenta...
Quantity I: The time taken by a bike to cross a tunnel and a bridge is 36 seconds and 30 seconds, respectively. If the length of the tunnel exceeds the ...
If sin(3θ) = cos(2θ), find θ.
Relevant for Exams:
