Surface Areas and Volumes Test

Result

Surface Areas and Volumes Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

If the surface area of a solid sphere is 1386 cm². then the total surface area of the solid hemisphere of the same radius is

A
693 cm²

B
519.75 cm²

C
1039.5 cm².

D
1559.25 cm²

Solution

surface area of a solid sphere is 1386 cm²= 4πr²

so, Total Surfce area of hemisphere = 3πr²

Thus, 3πr²= 1386×3 / 4

=1039.5 cm²
Question 2
1 / -0

If a sphere of radius 2r has the same volume as that of a cone with a circular base of radius r, then the height of the cone is

A
28r.

B
32r.

C
24r.

D
30r.

Solution

Given,

Volume of sphere = volume of cone

4/3π(2r)³ = 1/3 πr²h

4 ×8r³ = r²h

h= 32r
Question 3
1 / -0

The curved surface area of a right circular cylinder which just encloses a sphere of radius r is

A
2πr²

B
6πr²

C
8πr²

D
4πr²

Solution

Here, height of cylinder would be equal to diameter of spherei.e. 2r

So, CSA of cylinder is 2πrh

=2πr(2r)

= 4πr²