Question
A hemispherical bowl with an internal radius of 15 cm is
full of liquid. This liquid will be filled in cylindrical bottles with a radius of 5 cm and a height of 7 cm. How many bottles are required to empty the bowl? type-sscSolution
Given – the radius of the hemispherical bowl= 15cm The volume of the hemispherical bowl =2/3 πr3 =2/3×22/7×15×15×15 = (44×225×5)/7  Volume of hemispherical bowl= (44×225×5)/7 Now radius of cylindrical bottles = 5cm. and height =6cm So, the volume of cylindrical bottles = πr²h =22/7 ×25×6 Number of the bottles = (44×225×5)/7)/ (22/7 ×25×6)  =15 Number of the bottles = 15
The average of a series of 30 numbers is 70. The difference between the largest number and the smallest number is 140. If the largest and the smallest n...
The university has 750 faculty (male and female only) out of which the females are 60%. The average height of females is 162 cm and that of males is 168...
Average marks scored by Vineet in five subjects are 85. The average marks scored by him (excluding his highest and lowest marks) are 70 and lowest marks...
A student's marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class increased by 1 /3 The number of students in the...
The average weight of 36 students in a class is 62 kg. When two new students having weights (m + 8) kg and (m − 6) kg joined, the average weight dropp...
The average number of novels on historical, thriller and fantasy in a library is 195, and the average number of novels on historical and fantasy is 150....
Average weight of all the people in a group is 60 kg. When two people of weight 66 kg and 84 kg left the group, average weight reduces by 1 kg. Find the...
- There are three distinct numbers ‘d’, ‘e’ and ‘f’. If, d = 120, (d + e) = 420 and (f – e) = 60, then find the average of d, e and f.
The average score of a group of 50 students is 90. When the scores of 4 students—X, Y, Z, and W—are excluded, the average of the rest falls by 2. If...
The average age of 24 children and their teacher's age are 21 years. If the teacher's age is excluded, the average reduces by 1. What is the teacher's age?