Miscellaneous Mensuration (Simple) | Learn Mathematics Online

Miscellaneous Mensuration (Simple)

Study Material (PDF)

Study Material (PDF)

Click on each question to see answer & solution.

Question No: #121

If the length of the radius of a sphere is increased by 50%, by what percentage will its surface area increase?

Ans: 125%

Question No: #122

If the radius of a solid sphere be decreased by 1 cm, then the curved surface area of it is decreased by 88 sq. cm. What was the radius of the sphere?

Ans: 4 cm.

Question No: #123

Three solid spheres of radii 3 cm , 4 cm and 5 cm are melted to form a larger sphere. The radius of the larger sphere will be ........ cm.

Ans: 6 cm

Question No: #124

How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm?

Ans: 512

Question No: #125

By melting a solid lead sphere of diameter 12 cm, three small spheres are made whose diameters are in the ratio `3:4:5`. find the radius of the smallest sphere.

Ans: 3 cm

Question No: #126

Two solid spheres of diameter 20 cm and 6 cm are melted and a hollow sphere 1 cm thickness is made with their material. What is the inner radius of the new sphere?

Ans: 18 cm

Question No: #127

If two solid spheres of radii 1 cm and 6 cm are melted to form a hollow sphere of thickness 1 cm, then what will be the surface area of hollow sphere?

Ans: 1018.28 sq. cm.

Question No: #128

Two solid spheres of diameter 2 cm and 12 cm are melted to form a hollow sphere. What is the outer diameter of this hollow sphere if its inner diameter is 16 cm?

Ans: 18 cm

Question No: #129

The curved surface of a solid metalic sphere is cut in such a way that the curved surface area of the new sphere is half of that previous one. Calculate the ratio of the volumes of the portion cut off and remaining portion of the shere.

Ans: `(2\sqrt{2}-1):1`

Question No: #130

A hemispherical bowl of internal radius 9 cm is filled with water. The water is to be filled into cylindrical shaped small bottles, each of diameter 3 cm and height 4 cm. How many bottles are needed to empty the bowl?

Ans: 54