मराठी

If the Slant Height of the Frustum of a Cone is 6 Cm and the Perimeters of Its Circular Bases Are 24 Cm and 12 Cm Respectively. What is the Curved Surface Area of the Frustum? - Mathematics

Advertisements
Advertisements

प्रश्न

If the slant height of the frustum of a cone is 6 cm and the perimeters of its circular bases are 24 cm and 12 cm respectively. What is the curved surface area of the frustum?

थोडक्यात उत्तर

उत्तर

The parameter of upper base

`=2pir_1`

`2pir_1= 12`

     `r_1 = 6/pi cm`

The parameter of lower base

`=2pir_2`

`2pir_2= 24`

     `r_2 = 12/pi cm`

The surface area of frustum

`=pi(6/pi + 12/pi) xx 6`

`= pi xx 18/pi xx 6`

`=108  cm^2`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Surface Areas and Volumes - Exercise 14.4 [पृष्ठ ८७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 14 Surface Areas and Volumes
Exercise 14.4 | Q 20 | पृष्ठ ८७

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

A 5 m wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used at the rate of Rs 25 per metre ?\[[Use \pi = \frac{22}{7}]\]

 


A solid toy s in the form of a hemisphere  surrounded by a right circular cone . The height of cone is 4 cm and the diameter of the base is 8 cm . Determine the volume of the toy. If a cube circumscribes the toy , then find the difference of the volumes of cube and the toy .


A bucket is in the form of a frustum of a cone of height 30 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the capacity and surface area of the  bucket. Also, find the cost of milk which can completely fill the container , at thr rate of ₹25 per litre. (Use \[\pi = 3 . 14) .\]


A tent consists of a frustum of a cone, surmounted by a cone. If the diameter of the upper and lower circular ends of the frustum be 14 m and 26 m, respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of the canvas required to make the tent. (Assume that the radii of the upper circular end of the frustum and the base of the surmounted conical portion are equal.)


A bucket of height 24 cm is in the form of frustum of a cone whose circular ends are of diameter 28 cm and 42 cm. Find the cost of milk at the rate of ₹30 per litre, which the bucket can hold.


A drinking glass is in the shape of the frustum of a cone of height 21 cm with 6 cm and 4 cm as the diameters of its two circular ends. Find the capacity of the glass.


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


The shape of a glass (tumbler) (see figure) is usually in the form of ______.


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.

If radius of the base of cone is 7 cm and height is 24 cm, then find its slant height.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×