Geometry basics Quiz 1

Question 1

The volume of a cylinder with height 8 cm is $$882\pi c{{m}^{3}}$$. If the height of the cone is the same as that of the cylinder and the ratio of their respective radii is 7:8, find the volume of the cone.

Accepted Answer

$$384\pi c{{m}^{3}}$$

Answer

$$480\pi c{{m}^{3}}$$

Answer

$$386\pi c{{m}^{3}}$$

Answer

$$362\pi c{{m}^{3}}$$

Question 2

The height of a cone is 20 cm while that of a cylinder is twice its height. Their respective total surface areas are $$1050\pi c{{m}^{2}}$$ and $$5250\pi c{{m}^{2}}$$. What is the ratio of their respective radii?

Accepted Answer

$$3:5$$

Answer

$$3:7$$

Answer

$$1:5$$

Answer

$$2:5$$

Question 3

A rectangle is made by tying the ends of four broken copper wires to each other. One copper wire is stretched along the same line from one end $$($$three vertices remain the same place$$)$$, so that length increases by $$20\%$$. By what percentage does the area of quadrilateral increase if the three vertices remain in the same place?

Accepted Answer

$$10\%$$

Answer

$$6\%$$

Answer

$$12\%$$

Answer

$$5\%$$

Question 4

The volume of a right circular cone with radius $$16cm$$ is $$5376\pi c{{m}^{3}}$$. Now, a frustum is cut out of the cone such that the height and radius of the new cone so formed is $$31.5cm$$ and $$8cm$$ respectively. What is the curved surface area of the frustum so formed?

Accepted Answer

$$780\pi c{{m}^{2}}$$

Answer

$$384\pi c{{m}^{3}}$$

Answer

$$786\pi c{{m}^{3}}$$

Answer

$$362\pi c{{m}^{3}}$$

Question 5

The sweet shop was asked to deliver 1910 sweets which includes two types of sweets - kaju barfi  of dimensions 1 cm, 3 cm and 4 cm and besan barfi of dimensions 1cm, 3 cm and 3 cm. Both the types of sweets were packed together in 10 small square-shaped cartons with height 6 cm, each containing 75 kaju barfi. How many similar cartons would be required to pack 810 kaju barfi only?

Accepted Answer

5

Answer

4

Answer

6

Answer

7