English

The Volume of a Conical Tent is 1232 M3 and the Area of the Base Floor is 154 M2. Calculate The: - Mathematics

Advertisements
Advertisements

Question

The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the: height of the tent.

Sum

Solution

Let h be the height of the conical tent, then the volume = 

`1/3pir^2hm^3` 

`∴ 1/3pir^2h=1232` 

⇒ `1/3xx22/7xx7xx7xxh` 

`⇒ h =( 1232xx3)/(22xx7)=24` 

Hence, radius of the base of the conical tent i.e. the floor = 7 m  

shaalaa.com
  Is there an error in this question or solution?
Chapter 20: Cylinder, Cone and Sphere - Exercise 20 (B) [Page 303]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 20 Cylinder, Cone and Sphere
Exercise 20 (B) | Q 14.2 | Page 303

RELATED QUESTIONS

Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.

`["Assume "pi=22/7]`

 


The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of ₹ 210 per 100 m2.

`["Assume "pi=22/7]`


A hemispherical bowl of diameter 7.2 cm is filled completely with chocolate sauce. This sauce is poured into an inverted cone of radius 4.8 cm. Find the height of the cone.


Find the curved surface area of a cone, if its slant height is 60 cm and the radius of its base is 21 cm.  


The area of the curved surface of a cone is 60 cm2. If the slant height of the cone be 8 cm, find the radius of the base? 


A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3:1. 

 


Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.  

 


A solid metal sphere is cut through its center into 2 equal parts. If the diameter of the sphere is `3 1/2 cm`, find the total surface area of each part correct to two decimal places. 


A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed.


A cubical block of side 7 cm is surmounted by a hemisphere of the largest size. Find the surface area of the resulting solid. 


A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm, are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.


The radii of the bases of two solid right circular cones of same height are r1 and r2 respectively. The cones are melted and recast into a solid sphere of radius R. Find the height of each cone in terms r1, r2 and R. 


A cone and a hemisphere have the same base and the same height. Find the ratio between their volumes.


Surface area of a cone is 188.4 sq.cm and its slant height is 10 cm. Find its perpendicular height ( π= 3.14)


Total surface area of a cone is 616 sq.cm. If the slant height of the cone is three times the radius of its base, find its slant height.


The heights of two cones are in the ratio 1:3 and their base radii are in the ratio 3:1. Find the ratio of their volumes. 


The curved surface area of a right circular cone of radius 11.3 cm is 710 cm2. What is the slant height of the cone ? 


The radius and height of a cylinder, a cone and a sphere are same. Calculate the ratio of their volumes. 


The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the:  length of the canvas required to cover this conical tent if its width is 2 m.


The radius and height of cone are in the ratio 3 : 4. If its volume is 301.44 cm3. What is its radius? What is its slant height? (Take π = 3.14)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×