A cloth having an area of 165 m² is shaped into the form of a conical tent of radius 5 m. How many students can sit in the tent if a student, on an average, occupies 5/7 m² on the ground?

Solution:

Given, a cloth having an area of 165 m² is shaped into the form of a conical tent of radius 5 m.

We have to find the number of students that can be seated in the tent if a student on an average occupies 5/7 m² on the ground.

Radius of conical tent = 5 m

Area of base of conical tent = πr²

= (22/7)(5)²

= 22(25)/7

Number of students = area of base of cone / area occupied by one student to sit

= (22(25)/7) / (5/7)

= 22(25)(7) / (5)(7)

= 22(25)/5

= 22(5)

= 110

Therefore, the number of students that can be seated in the tent is 110.

✦ Try This: A cloth having an area of 125 m² is shaped into the form of a conical tent of radius 4 m. How many students can sit in the tent if a student, on an average, occupies 3/7 m² on the ground?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.4 Problem 3(i)

A cloth having an area of 165 m² is shaped into the form of a conical tent of radius 5 m. How many students can sit in the tent if a student, on an average, occupies 5/7 m² on the ground?

Summary:

A cloth having an area of 165 m² is shaped into the form of a conical tent of radius 5 m. 110 students can sit in the tent if a student, on an average, occupies 5/7 m² on the ground

☛ Related Questions:

• A cloth having an area of 165 m² is shaped into the form of a conical tent of radius 5 m. Find the v . . . .
• The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank . . . .
• The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas