Question
The volume of a hemisphere is 2425 (1/ 2)
cm3. Find its diameter (Take p = 22/7)Solution
Let the radius of the hemisphere be R  (2/3) x (22/7) × R3 = 2425.5 (2/3) × (22/7) x R³ = (4851/2)  (2/3) × (22/7) x R³ = (99 x 49)/2 R³ = (3 x 3 x 11 × 7 × 7 × 3 × 7)/ (2 x 2 x 2 x 11) R³ = (3 × 3 × 3 × 7 × 7 × 7)/ (2 x 2 x 2) R = (3 x 7)/2 R = 10.5 cm. 2R=21cm The radius of the hemisphere is 21cm cm
- The average marks of Priya in 8 subjects was mentioned as 59. Her marks in English and Biology were wrongly recorded as 61 and 48, whereas they should have...
The combined average weight of 8 apples and 5 oranges is 150 grams. If the average weight of the apples is 180 grams, what is the average weight of the ...
Average weight of a team of 16 persons is 37 kg. When one more person joins the team, the average weight of the team increases by 4 kg. Find the weight ...
The average marks of 30 students in Class I is 60. The average marks of some students in Class II is 75. When all students of both classes are taken tog...
- Average of first 2 numbers is twice the average of next 4 numbers. If the average of all 6 numbers is 18, find the sum of the last 4 numbers.
A set contains ten numbers. The average of the first six numbers is (x − 4), and the average of the last three numbers is (x + 2). The average of the...
- The mean of 15 observations is 124 and the median of the observations is 130. Find the mode of the observations.
 A hollow spherical metallic ball has an external diameter 8cm and is 1/2cm thick. The volume of the ball (in cm cube) is.
- The batsman has an average of 32 in 50 innings. His scores in the next 5 innings are 40, 30, 35, 45, and 50. Find his new batting average.
- There are three distinct numbers ‘x’, ‘y’ and ‘z’. If, x = 180, (x + y) = 480 and (z – y) = 60, then find the average of x, y and z.
Relevant for Exams:
