Q1. The radius of the base and the height of a right circular cylinder are 3.5 cm and 7.5 cm respectively. The ratio of the total surface area to the curved surface area of the cylinder will be
(a) 22 : 5
(b) 22 : 15
(c) 22 : 7
(d) 22 : 17
Q2. Each of the height and the base of a right circular cone is increased by 100%. What will be the increase in the volume of the cone?
Q3. If a sphere of radius r is divided equally in four parts, the total surface area of the all four parts will be
Q4. Kaurav and Pandav have a rectangular field of area 20,000 sq. m. They decided to divide it into two equal parts by dividing it with a single straight line. Kaurav wanted to fence their land immediately, so they incurred total expenses for the fencing all the four sides alone at Rs. 2 per metre. What is the minimum cost that Kaurav had to incur?
(a) Rs. 800
(b) Rs. 1600
(c) Rs. 1200
(d) Rs. 600
Q5. 125 identical cubes are cut from a big cube and all the smaller cubes are arranged in a row to form a long cuboid. What is the percentage increase in the total surface area of the cuboid over the total surface area of the cube?
Q6. Two square have sides x cm and (x + 4) cm. The sum of their areas is 656 . Find the sides of the square:
(a) 8 cm, 12 cm
(b) 12 cm, 15 cm
(c) 6 cm, 10 cm
(d) 16 cm, 20 cm
Q7.A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm³) of the prism?
Q8. Consider a right circular cone of base radius 2cm and height 8 cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of the cone. Find the largest possible total surface area(in cm2) of the cylinder?
Q9.The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm³,then what is the volume (in cm³) of the original cone?
Q10.The ratio of the curved surface area and total surface area of a right circular cylinder is 2 : 5. If the total surface area is 3080 cm², then what is the volume (in cm³) of the cylinder?