The curved surface area of a right cylinder is 3696 cm². Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π =22/7)

The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.

What approximate value should come in the place of question mark (?) in the following question?

{44.95 - (16.97 × 2.93 - 2.99 × 1.92)} = ?

Directions: Read the following data carefully and answer the questions given below:

There are 6300 students in Manipur University in the academic year 2020. The ratio of the boys to the girls in the University is 5 : 4. All the students are enrolled in different indoor activities (Chess, Carom, Debating, Painting, and Quiz) and one student is enrolled in only one indoor activity. The number of boys enrolled in the Painting is 621. The ratio of the number of boys who enrolled in Chess to the number of boys who enrolled in Carom is 5 : 3. 36% of the students are enrolled in Quiz. The number of boys enrolled in Debating is 25% of the total number of boys. The number of girls enrolled in Quiz is 640 which is 150 less than the number of girls enrolled in Carom. The number of girls enrolled in Chess is 186 more than the number of boys enrolled in the same activity. The total number of students enrolled in Painting is 816.

The difference in the number of boys and girls who are enrolled in painting is what percentage of the total number of students who are enrolled in Debating? (approximately)

If x = a secθ cos∅, y = b secθ sin∅, z=c tanθ, then the value of $$ {x^2\over a^2}+{y^2\over b^2}-{z^2\over c^2} $$

The value of $${1.6×1.6×1.6−1.6×1.6×1.6}\over 1.6×1.6+1.6×1.6+1.6×1.6 $$ is

Joseph's income is decreased by 10%, by what percent the new income has to be increased to bring his income back to the previous level?

The average mathematics marks of two Sections A and B of class IX 131 the annual examination is 74. The average marks of Section A is 77.5 and that of Section B is 70. The ratios of the number of students of Section A and B is: