Welcome to your Mensuration MCQs
1.
Two cones have their heights in the ratio 4 : 3 and the radii of their bases in the ratio 1 : 2. Find the ratio of their volumes.
2.
A shopkeeper has one spherical laddoo of radius 7 cm. With the same material, how many laddoos of radius 3.5 cm can be made?
3.
If the radius of a sphere is tripled, what is the ratio of the volume of the original sphere to that of the new sphere?
4.
If the edge of a cube is tripled, then its volume increases to _______ times its original volume.
5.
What will be the volume (V) of the cuboid, if its length is doubled, height is halved and breadth is tripled?
6.
If the radius of a hemisphere is 13 \(\surd3\) cm, find its curved surface area.
7.
20 identical solid hemispheres of radius 3 cm are melted to form a big solid hemisphere. What is the radius (in cm) of the biggest hemisphere formed, if 20% of the solid is wasted during the process?
8.
The area of an equilateral triangle is \(\frac{\sqrt{5043}}{4}\) sq.cm. The side of the equilateral triangle is:
9.
The area of a regular hexagon is 2048\(\sqrt{3}\) cm\(^2\). What is the length(in cm) of each side of the hexagon?
10.
A shot – put made of iron with a diameter of 12 cm is melted into a solid cylinder with a height of 2 cm. What is the diameter of the cylinder made?
11.
Find the area of a square whose diagonal is of 14 cm length.
12.
What is the number of gold coins, each having a radius of 0.875 cm and a thickness of 2 mm, that need to be melted to create a cuboid with dimensions 5.5cm\(\times\) 5 cm \(\times\) 3.5 cm? ( User \(\pi = \frac{22}{7}\))
13.
The lengths of the two diagonals of a rhombus are 20 cm and 23 cm. What is the area (in cm\(^2\) ) of the rhombus?
14.
The height of a right circular cylinder is three times its radius. If the curved surface area of the right circular cylinder is 3696 cm\(^2\), then the volume of the cylinder is equal to (taking\(\pi =\frac{22}{7}\)) :
15.
A cylindrical tank of height 10 m and radius 5 m has a small circular cut of 0.5 m radius on its top surface. What would be the total surface area of the tank?
16.
A cylindrical disc of thickness 1 cm is made by melting two solid cylinders of radii 4 cm and 5 cm, and length 6 cm and 4 cm, respectively. The radius of the new cylinder is:
17.
A solid cylinder with a height of 8 units and a radius of 3.5 units is to be covered with a paper sheet. If the cost of the paper sheet is ₹40 per 5 square units, the cost (in₹) of covering the cylinder is ____________ (take\(\pi = \frac{22}{7}\))
18.
If the curved surface area of a cylindrical pipe is 44,000 cm\(^2\) and its diameter is 5 cm, find its length.(take\(\pi = \frac{22}{7}\))
Leave a Reply