मराठी

A Rocket is in the Form of a Circular Cylinder Closed at the Lower End and a Cone of the Same Radius is Attached to the Top. the Radius of the Cylinder is 2.5 M, Its Height is 21 M and - Mathematics

Advertisements
Advertisements

प्रश्न

A rocket is in the form of a circular cylinder closed at the lower end and a cone of the same radius is attached to the top. The radius of the cylinder is 2.5 m, its height is 21 m and the slant height of the cone is 8 m. Calculate the total surface area of the rocket.

बेरीज
Advertisements

उत्तर

Radius of the cylinder = 2.5 m
Height of the cylinder = 21 m 

Curved surface area of the cylinder `= 2pirh = 2xx22/7xx2.5xx21=330` m2

Radius of the cone = 2.5 m

Slant height of the cone = 8 m

Curved surface area of the cone `= pirl = 22/7 xx2.5xx8 = 62.86` m2

Area of circular base = `pir^2 = 22/7xx2.5xx2.5xx=19.643`

∴ Total surface area of rocket = 330 + 62.86 + 19.643 m

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Volume and Surface Area of Solids - Exercise 19A [पृष्ठ ८७५]

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 19 Volume and Surface Area of Solids
Exercise 19A | Q 12 | पृष्ठ ८७५

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

The number of solid spheres, each of diameter 6 cm that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is:


In Fig. 4, from the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to the base. Find the total surface area of the remaining solid. (Use `pi=22/7` and `sqrt5=2.236`)


A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.


A medicine capsule is in the shape of cylinder with two hemispheres stuck to each of its ends (see the given figure). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area. [Use π = `22/7`]

 


From a solid right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.


A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5 cm and 13 cm respectively.The radii of the hemispherical and conical parts are the same as that of the cylindrical part.Find the surface area of the toy if the total height of the toy is 30 cm.


A frustum of a right circular cone has a diameter of base 20 cm, of top 12 cm, and height 3 cm. Find the area of its whole surface and volume.


A solid is composed of a cylinder with hemispherical ends. If the length of the whole solid is 108 cm and the diameter of the cylinder is 36 cm, find the cost of polishing the surface at the rate of 7 paise per cm2 .


Two cubes each of volume 27 cm3 are joined end to end to form a solid. Find the surface area of the resulting cuboid.


A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5 cm and 13 cm, respectively. The radii of the hemispherical and the conical parts are the same as that of the cylindrical part. Find the surface area of the toy, if the total height of the toy is 30 cm.


A hemispherical bowl of internal diameter 30 cm contains some liquid. This liquid is to be poured into cylindrical bottles of diameter 5 cm and height 6 cm each. Find the number of bottles required.


The shape of the gilli used in a gilli-danda game is a combination of


plumbline (sahul) is a combination of


In the figure given below, ABCD is a square of side 14 cm with E, F, G and H as the mid points of sides AB, BC, CD and DA respectively. The area of the shaded portion is ______.


A plumbline (sahul) is the combination of (see figure) ______.


If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is ______.


Two cones with same base radius 8 cm and height 15 cm are joined together along their bases. Find the surface area of the shape so formed.


There are two identical solid cubical boxes of side 7 cm. From the top face of the first cube a hemisphere of diameter equal to the side of the cube is scooped out. This hemisphere is inverted and placed on the top of the second cube’s surface to form a dome. Find

  1. the ratio of the total surface area of the two new solids formed
  2. volume of each new solid formed.

Tamper-proof tetra-packed milk guarantees both freshness and security. This milk ensures uncompromised quality, preserving the nutritional values within and making it a reliable choice for health-conscious individuals.

500 ml milk is packed in a cuboidal container of dimensions 15 cm × 8 cm × 5 cm. These milk packets are then packed in cuboidal cartons of dimensions 30 cm × 32 cm × 15 cm.

Based on the above-given information, answer the following questions:

i. Find the volume of the cuboidal carton. (1)

ii. a. Find the total surface area of the milk packet. (2)

OR

b. How many milk packets can be filled in a carton? (2)

iii. How much milk can the cup (as shown in the figure) hold? (1)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×