A hemisphere of lead of radius 6 cm is c...

A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. Find the radius of the base of the cone.

Text Solution

Verified by Experts

The correct Answer is:

`2.4 cm`

Topper's Solved these Questions

VOLUME AND SURFACE AREAS OF SOLIDS
RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|66 Videos
VOLUME AND SURFACE AREAS OF SOLIDS
RS AGGARWAL|Exercise MULTIPLE-CHOICE QUESTIONS(MCQ)|14 Videos
VOLUME AND SURFACE AREAS OF SOLIDS
RS AGGARWAL|Exercise EXERCISE 17 C|2 Videos
TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES
RS AGGARWAL|Exercise Exercise 12|15 Videos

Similar Questions

Explore conceptually related problems

A hemisphere of lead of radius 9 cm is cast into a right circular cone of height 72 cm. Find the radius of the base of the cone.

A hemisphere of lead of radius 7cm is cast into a right circular cone of height 49cm. Find the radius of the base.

A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is (a) 1.4 cm (b) 2 cm (c) 2.4 cm (d) 4.2 cm

A hemispherical of lead of diameter 14 cm is cast into a right circular cone of height 14 cm. The radius of the base of the cone is :

A copper sphere of radius 3 cm is melted and recast into a right circular cone of height 3 cm. Find the radius of the base of the cone.

A sphere of diameter 12.6 cm is melted and cast into a right circular cone of height 25.2 cm. The radius of the base of the cone is

A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone, correct to two places of decimal.

A metallic sphere of radius 6 cm is melted and recast into a sphere of cone of height 24 cm. Find the radius of base of the cone.

A sphere of diameter 15.6 cm is melted and cast into a right circular cone of height 31.2 cm. Find the diameter of the base of the cone.

RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Exercise 17D

How many lead shots each 3 mm in diameter can be made from a cuboid...
Text Solution
|
A metallic cone of radius 12 cm and height 24 cm is melted and made in...
Text Solution
|
A hemisphere of lead of radius 6 cm is cast into a right circular cone...
Text Solution
|
A copper sphere of diameter 18 cm is drawn into a wire of diameter ...
Text Solution
|
The radii of the circulr ends of a frustum of height 6 cm are 14 cm an...
Text Solution
|
Determine the ratio of the volume of a cube to that of a sphere which ...
Text Solution
|
Find the ratio of the volumes of a cylinder, a cone and a sphere, if e...
Text Solution
|
Two cubes each of volume 125 cm^(3) are joined end to end .Find the vo...
Text Solution
|
Three metallic cubes whose edges are 3 cm, 4 cm and 5 cm, are melted a...
Text Solution
|
A solid metallic sphere of diameter 8 cm is melted and drawn into a cy...
Text Solution
|
A 5 m wide cloth is used to make a conical tent of base diameter 14...
Text Solution
|
An wooden toy is made by scooping out a hemisphere of same radius f...
Text Solution
|
Three cubes of metal whose edges are in the ratio 3:4:5 are melted dow...
Text Solution
|
A hollow sphere of internal and external diameters 4 cm and 8 cm re...
Text Solution
|
A bucket of height 24 cm is in the form of frustum of the cone whose c...
Text Solution
|
The interior of a building is in the form of a right circular cylinder...
Text Solution
|
A metallic solid right circular cone is of height 84 cm and the radius...
Text Solution
|
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisp...
Text Solution
|
If the radii of the circular ends of a bucket 28 cm high, are 28 cm an...
Text Solution
|
A bucket is in form of a frustum of a cone with a copacity of 12308.8 ...
Text Solution
|