Question
The surface area of a sphere is 2,464 cm2. If
the sphere is cut into two equal pieces, then find the total surface area of each hemisphere thus formed. (Take π = 22/7)Solution
Area of hemisphere = 3πr {where ‘r’ is the radius}
Surface area of sphere = 4πr2 (Where ‘r’ is the radius)
Let radius of the given sphere ‘r’ cm
ATQ;
2464 = 4 × (22/7) × r × r
Or, r2Â = 196
So, r = 14
Required area = 3 × (22/7) × 14 × 14 = 1,848 cm2
 A box contains 12 yellow marbles, ‘x’ blue marbles and 12 white marbles. A box contains 5 yellow marbles, 2 blue marbles and 3 white marbles. The ...
- In how many ways can the letters of the word "CHOCOLATE" be arranged, and what is the probability that all the vowels in these arrangements always appear t...
There are 5 Red caps, 3 Green caps and 2 Blue caps in a box. 4 caps are chosen at random. What is the probability of their being 2 Red and 2 Blue caps?
Two letters are selected randomly without replacement from the word ‘PROBABILITY’. Find the probability that both selected letters are consonants.
A box contains 4 red, 5 blue, and 3 green balls. Two balls are drawn at random without replacement. What is the probability that the two balls drawn are...
- A bag contains 5 red balls, 7 green balls, and 6 blue balls. Two balls are drawn at random. Find the probability that the two balls are green.
"A box contains 54 rubber bands in three colors: Red, Green, and Yellow. The probability of picking a green rubber band is (1/3),...
- There are 6 Apples and some oranges in a basket. If 2 fruits are picked at random, the probability that both are Apples is 1/8. How many oranges are there?
A bowl contains 9 blue balls, 7 white, and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being blue is:
In a cricket world cup the probability that India will win the cup is ¼. The Probability of Pakistan winning the cup is 1/5 and Australia winning the c...
Relevant for Exams:
