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Mensuration - Volume and Surface Areas

Multiple Choice Questions

11.

If the area of the base, height and volume of a right prism be and 7200 cm³ respectively, then the value of P will be

$4$
$square root of 3$
$square root of 3$

187 Views

12.

A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is $11 over 25$ that of the pool, then the radius (in m) of the pool is

316 Views

13.

A conical iron piece having diameter 28 cm and height 30cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter (in cm) of the vessel is

3.5
$35 over 2$
35
35

323 Views

14.

The area of the iron sheet required to prepare a cone 24 cm high with base radius 7 cm is $open parentheses Take space straight pi space equals space 22 over 7 close parentheses$ .

708 cm²
804 cm²
704 cm²
704 cm²

334 Views

15.

A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form a cylinder by making the opposite edges just to touch each other. Then, the volume of the cylinder is

180/π cm³
120/π cm³
100/π cm³
60/π cm³

405 Views

16.

The radius of a sphere and hemisphere are same. The ratio of their total surface areas is

3 : 1
2 : 1
3 : 2
3 : 2

379 Views

17.
The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cm³ more. Assuming $straight pi space equals space 22 over 7 comma space$ the height of the cylinder is

5 cm

7 cm

9 cm

9 cm

7 cm

Let the radius of cylinder = r
and the height of cylinder = 2r
If its height be 6 times its radius,
New height of cylinder = 6r
As per question,
   $space πr squared space cross times space 6 straight r space minus space πr squared space cross times space 2 straight r space equals space 539 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 4 πr cubed space equals space 539 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight r cubed space equals space fraction numerator 539 space cross times space 7 over denominator 4 space cross times space 22 end fraction$
   $straight r cubed space equals space fraction numerator 539 space cross times space 7 over denominator 4 space cross times space 22 end fraction straight r cubed space equals space open parentheses 7 over 2 close parentheses cubed straight r space equals space 7 over 2 cm$

Hence, height of cylinder = $2 cross times 7 over 2 cm space equals space 7 space cm$

228 Views

18.

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

517 Views

19.

The volume of metallic cylindrical pipe of uniform thickness is 748 cm³. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is