A solid wooden toy is in the form of a h...

A solid wooden toy is in the form of a hemisphere surmounted by a cone of same radius. The radius of hemisphere is 3.5 cm and the total wood used in the making of toy is `166 5/6 cm^3`. Find the height of the toy. Also, find the cost of painting the hemispherical part of the toy at the rate of Rs. 10 per `cm^2`

Topper's Solved these Questions

STATISTICS
RD SHARMA|Exercise All Questions|230 Videos
TRIANGLES
RD SHARMA|Exercise All Questions|361 Videos

Similar Questions

Explore conceptually related problems

A solid wooden toy is in the form of a hemisphere surmounted by a cone of same radius.The radius of hemisphere is 3.5cm and the total wood used in the making of toy is 16666cm^(3). Find the height of the toy.Also, find the cost of painting the hemispherical part of the toy at the rate of Rs.10per cm^(2)

The radius of a hemisphere is 2.5 cm. Find its total surface area.

A toy is in the. shape of a hemisphere surmounted by a cone. If radius of base.of the cone is 3 cm and height is 4cm. The total surface area of the toy is:

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy (nearly).

A solid toy is in the form of a hemisphere surmounted by a right circular cone of same radius. The height of the cone is 10 Cm and the radius of the base is 7 cm. Determine the volume of the toy. Also find the area of the coloured sheet required to cover the toy. (Use pi = 22//7 and sqrt149 = 12.2 )

A toy is in the form of a cone mounted on a hemisphere of same radius 7cm. If the total height of the toy is 31cm, find the total surface area.

A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the hemispherical is 21 cm and the total height of the vessel is 14.5 cm . Find its capacity.

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.

RD SHARMA-SURFACE AREAS AND VOLUMES-All Questions

A wooden article was made by scooping out a hemisphere from each en...
Text Solution
|
From a solid cylinder of height 2.8 cm and diameter 4.2 cm, a conic...
Text Solution
|
A solid wooden toy is in the form of a hemisphere surmounted by a cone...
Text Solution
|
The slant height of the frustum of a cone is 4 cm, and the perimete...
Text Solution
|
A bucket is in the form of a frustum of a cone and holds 28.490 lit...
Text Solution
|
A friction clutch is in the form of a frustum of a cone, the diamet...
Text Solution
|
The height of a cone is 30 cm .A small cone is cut off at the top by a...
Text Solution
|
An oil funnel of tin sheet consists of a cylindrical portion 10 cm ...
Text Solution
|
A solid metallic right circular cone 20 cm high with vertical angle...
Text Solution
|
A bucket of height 8 cm and made up of copper sheet is in the form ...
Text Solution
|
An open metal bucket is in the shape of a frustum of a cone, mounte...
Text Solution
|
Hanumappa and his wife Gangavva are busy making Jaggery out of suga...
Text Solution
|
A fez, the headgear cap used by the trucks is shaped like the frust...
Text Solution
|
A bucket has top and bottom diameters of 40 cm and 20 cm respectivel...
Text Solution
|
A frustum of a right circular cone has a diameter of base 20 cm, of...
Text Solution
|
The slant height of the frustum of a cone is 4 cm and the perimeter...
Text Solution
|
The perimeters of the ends of a frustum of a right circular cone ar...
Text Solution
|
If the radii of the circular ends of a conical bucket which is 45 c...
Text Solution
|
The height of a cone is 20 cm. A small cone is cut off from the top...
Text Solution
|
If the radii of the circular ends of a bucket 24 cm high are 5 cm a...
Text Solution
|