मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the total surface area of frustum, if its radii are 15 cm and 7 cm. Also, the slant height of the frustum is 14 cm. - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Find the total surface area of frustum, if its radii are 15 cm and 7 cm. Also, the slant height of the frustum is 14 cm.

Radii of the frustum = `square` cm and `square` cm

Slant height of the frustum = `square` cm

Total surface area = `π[(r_1^2 + r_2^2 + (r_1 + r_2)l]`

= `22/7 [square + square + (square + square) square]`

= `22/7 (square)`

= `square` cm2

Hence, the total surface area of the frustum is `square`.

रिकाम्या जागा भरा
बेरीज
Advertisements

उत्तर

Radii of the frustum = 15 cm and 7 cm

Slant height of the frustum = 14 cm

Total surface area = `π[(r_1^2 + r_2^2 + (r_1 + r_2)l]`

= `22/7` [(15)2 + (7)2 + (15 + 7) 14]

= `22/7 (bb582)`

= 1829.14 cm2

Hence, the total surface area of the frustum is 1829.14 cm2.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2025-2026 (March) Model set 1 by shaalaa.com

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Derive the formula for the curved surface area and total surface area of the frustum of cone.


Derive the formula for the volume of the frustum of a cone.


A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm.  Find the number of cones so formed.

 

A cone of radius 4 cm is divided into two parts by drawing a plane through the mid point of its axis and parallel to its base . Compare the volumes of two parts. 


An icecream cone full of icecream having radius 5 cm and height 10 cm as shown in fig. 16.77. Calculate the volume of icecream , provided that its 1/ 6 part is left unfilled with icecream .


If a cone and a sphere have equal radii and equal volumes. What is the ratio of the diameter of the sphere to the height of the cone?


A solid metal cone with base radius of 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls thus formed.


A spherical cannon ball, 28 cm in diameter, is melted and recast into a right circular conical mould with base diameter of 35 cm. Find the height of the cone.


The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm, and its slant height is 10 cm. Find its capacity and total surface area.


A bucket is in the form of a frustum of a cone and it can hold 28.49 litres of water. If the radii of its circular ends are 28 cm and 21 cm, then find the height of the bucket.


A right cylindrical vessel is full of water. How many right cones having the same radius and height as those of the right cylinder will be needed to store that water?


The shape of a glass (tumbler) is usually in the form of 


Choose the correct answer of the following question:

If the height of a bucket in the shape of frustum of a cone is 16 cm and the diameters of its two circular ends are 40 cm and 16 cm, then its slant height is


The frustum shaped outer portion of the table lamp has to be painted including the top part. Find the total cost of painting the lamp if the cost of painting 1 sq.cm is ₹ 2.


A cylindrical pencil sharpened at one edge is combination of ______.


The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are ______.


A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called ______.


The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is ______.


A bucket is in the form of a frustum of a cone and holds 28.490 litres of water. The radii of the top and bottom are 28 cm and 21 cm, respectively. Find the height of the bucket.


Read the following passage and answer the questions given below.

A 'circus' is a company of performers who put on shows of acrobats, clowns etc. to entertain people started around 250 years back, in open fields, now generally performed in tents.

One such 'Circus Tent' is shown below.

The tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of cylindrical part are 9 m and 30 m respectively and height of conical part is 8 m with same diameter as that of the cylindrical part, then find

  1. the area of the canvas used in making the tent;
  2. the cost of the canvas bought for the tent at the rate ₹ 200 per sq m, if 30 sq m canvas was wasted during stitching.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×