A toy is in the form of a hemisphere sur...

A toy is in the form of a hemisphere surmounted by a right circular cone of same base radius. If the radius of the base of the cone is 21 cm and its volume is `2/3` volume of hemisphere, calculate the height of the cone and the total curved surface area of the toy.

Text Solution

Verified by Experts

The correct Answer is:

`5082cm^(2)`.

Topper's Solved these Questions

SURFACE AREAS AND VOLUMES
ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -SHORT ANSWER [SA] TYPE-2 QUESTIONS|15 Videos
SURFACE AREAS AND VOLUMES
ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER [LA] TYPE-QUESTIONS|18 Videos
SURFACE AREAS AND VOLUMES
ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -VERY-SHORT ANSWER [VSA] QUESTIONS|17 Videos
STATISTICS
ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos
TRIANGLES
ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER TYPE QUESTIONS|10 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 3.5 cm and the total wood used in 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) (take pi=(22)/(7) )

A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 2 cm and the diameter of the base is 4 cm. find the volume of the toy. If a right circular cylinder circumscribes the toy, find the difference in volume of cylinder and the toy.

A right circular cone has a height of 84 cm. the radius of the base is 35 cm. find the volume and curved surface area.

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

The volume of a right circular cone is 9856cm^(3). If the diameter of the base is 28 cm, find height of the cone

The height of a right circular cylinder is 14 cm, and the radius of its base is 2 cm. Find its curved surface area .

Find the volume of a right circular cone with radius 5 cm, height 7 c

ZEN PUBLICATION-SURFACE AREAS AND VOLUMES-ZEE ADDITIONAL QUESTIONS -SHORT ANSWER [SA] TYPE-1 QUESTIONS

Find the ratio of volumes of a cube to that of a sphere which exactly ...
Text Solution
|
Determine the ratio of volume of a cube and a right circular cone that...
Text Solution
|
The largest cone is carved out of a solid cube of side 21 cm. find the...
Text Solution
|
The largest possible sphere is carved out from a wooden cube of side 7...
Text Solution
|
The area of three adjacent faces of a cube are x,y and z. if its volum...
Text Solution
|
If S denotes the surface area of a sphere and V volume, Prove that S^(...
Text Solution
|
From a cuboidal block of dimensions 15cmxx10cmxx5cm, a cylinderical ho...
Text Solution
|
A juice seller was serving his customers using glasses. The inner diam...
Text Solution
|
A solid wooden toy is in the form of a hemisphere surmounted by a cone...
Text Solution
|
A room in the form of a cylinder surmounted by a hemishperical vaulted...
Text Solution
|
A cylinderical container with radius of its base 21 cm has sufficient ...
Text Solution
|
A toy is in the form of a hemisphere surmounted by a right circular co...
Text Solution
|
A solid toy is in the form of a hemisphere surmounted by a right circu...
Text Solution
|
A wooden belan was made by using 3 wooden cylinders as shown in the fi...
Text Solution
|
A glass in the form of a frustum of cone has capacity of 104picm^(3). ...
Text Solution
|
The radii of two circular ends of a frustum of a cone shaped dustbin a...
Text Solution
|