मराठी

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 Total Surface Area. - Mathematics

Advertisements
Advertisements

प्रश्न

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 total surface area.

थोडक्यात उत्तर

उत्तर

The slant height of the frustum of a cone is l=10cm. The radii of the upper and lower circles of the bucket are r1 =33cm and r2 =27cm respectively.

The total surface area of the frustum of the cone is

`S_1 = pi (r_1 + r_2) xx  l + pir_1^2 + pir_1^2`

    ` = pi xx (33 + 27) xx 10 + pi xx 33^2 + pi xx 27^2`

    ` = 600pi + 1089pi + 729pi`

    ` = 7599.42 cm^2`

Hence total surface area is `= 7599.42 cm^2`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Surface Areas and Volumes - Exercise 14.3 [पृष्ठ ७९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 14 Surface Areas and Volumes
Exercise 14.3 | Q 14 | पृष्ठ ७९

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 ?\[[Use \pi = \frac{22}{7}]\]

 


The radii of ends of a frustum are 14 cm and 6 cm respectively and its height is 6 cm. Find its volume \[\pi\] = 3.14) 


A heap of rice in the form of a cone of diameter 9 m  and height 3.5 m. Find the volume of rice. How much canvas cloth is required to cover the heap  ?


A rectangular vessel of dimensions 20 cm × 16 cm × 11 cm is full of water. This water is poured into a conical vessel. The top of the conical vessel has its radius 10 cm. If the conical vessel is filled completely, determine its height.


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 drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 16 cm and 12 cm. Find the capacity of the glass.


A metallic bucket, open at the top, of height 24 cm is in the form of the frustum of a cone, the radii of whose lower and upper circular ends are 7 cm and 14 cm, respectively. Find

  1. the volume of water which can completely fill the bucket;
  2. the area of the metal sheet used to make the bucket.

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


A solid formed on revolving a right-angled triangle about its height is ______.


A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form a cone of base diameter 8 cm. The height of the cone is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×