मराठी

A Plumbline (Sahul) is a Combination of - Mathematics

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प्रश्न

plumbline (sahul) is a combination of

पर्याय

  • a hemisphere and a cone

  • a cylinder and a cone

  • a cylinder and frustum of a cone

  • a cylinder and a sphere

MCQ
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उत्तर

a hemisphere and a cone

A plumbline (sahul) is a combination of a hemisphere and a cone.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Volume and Surface Area of Solids - Multiple Choice Questions [पृष्ठ ९१८]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 7 | पृष्ठ ९१८

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm

[use `pi = 22/7`]


The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively. If its height is 24 cm, find:

1) The area of the metal sheet used to make the bucket.

2) Why we should avoid the bucket made by ordinary plastic? [Use π = 3.14]


If the radii of circular ends of a bucket 24cm high are 5cm and 15cm. find surface area of
bucket?


A cylindrical tub, whose diameter  is 12 cm and height 15 cm is full of ice-cream. The whole ice-cream is to be divided into 10 children in equal ice-cream cones, with conical base surmounted by hemispherical top. If the height of conical portion is twice the diameter of base, find the diameter of conical part of ice-cream cone ?


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


Find the number of metallic circular discs with a 1.5 cm base diameter and of height  0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.


How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimension  6cm \[\times\] 42cm \[\times\] 21 cm.


Three solid spheres of radii 3, 4 and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.


From a solid cube of side 7 cm , a conical cavity of height 7 cm and radius 3 cm is hollowed out . Find the volume of the remaining solid.


A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of the canvas required in m2 is


A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 1.5 cm and 2 cm. Find the radius of the third ball.


In a village, a well with 10 m inside diameter, is dug 14 m deep. Earth taken out of it is spread all around to a width 5 m to form an embankment. Find the height of the embankment. What value of the villagers is reflected here? 


How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?


Three metallic cubes whose edges are 3 cm, 4 cm and 5 cm, are melted and recast into a single large cube. Find the edge of the new cube formed.


Match the following columns:

Column I Column II
(a) The radii of the circular ends of
a bucket, in the form of the frustum of a cone of height 30 cm, are 20 cm
and 10 cm respectively. The
capacity of the bucket is ........cm3.
(p) 2418π
(b) The radii of the circular ends
 of a conical bucket of height
15 cm are 20 and 12 cm
respectively. The slant height
of the bucket is ........ cm.
(q) 22000
(c) 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. The total surface area of
the bucket is .........cm2.
(r) 12
(d) Three solid metallic spheres of
radii 3 cm, 4 cm and 5 cm are
melted to form a single solid
sphere. The diameter of the
resulting sphere is ........ cm.
(s) 17

A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere and hence find the surface area of this sphere.


A container opened at the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of milk which can completely fill the container, at the rate of ₹ 50 per litre. Also find the cost of metal sheet used to make the container, if it costs ₹ 10 per 100 cm2. (Take π = 3⋅14)


If the volumes of a cube is 1728 cm³, the length of its edge is equal to ______.


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