Quant Quiz on “MENSURATION” for SSC CGL 2016

Q1. The curved surface area of a right circular cone of radius 14 cm is 440 sq cm. What is the slant height of the cone? 
(a) 10 cm
(b) 11 cm 
(c) 12 cm
(d) 13 cm 

Q2. The diameter of base of a right circular cone is 7 cm and slant height is 10 cm, then what is its lateral surface area?
(a) 110 sq cm
(b) 100 sq cm 
(c) 70 sq cm
(d) 49 sq cm 

Q3. The volume of a right circular cone is 100 π cm^3 and its height is 12 cm. Find its slant height. 
(a) 13 cm
(b) 16 cm 
(c) 9 cm
(d) 26 cm 

Q4. If the volume of a right circular cone of height 9 cm is 48 π cm^3, then find the diameter of its base. 
(a) 8 cm
(b) 4 cm 
(c) 7 cm
(d) 11 cm 

Q5. Pranab’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 5 such caps. 
(a) 5000 sq cm
(b) 2750 sq cm 
(c) 3000 sq cm
(d) 2700 sq cm 

Q7. The frustum of a right circular cone has the diameters of base 10 cm, of top 6 cm and a height of 5 cm. Find its slant height. 
(a) √29  cm
(b) 3√3  cm
(c) √13  cm
(d) 4√3  cm  

Q8. A cone of radius r cm and height h cm is divided into two parts by drawing a plane through the middle point of its height and parallel to the base. What is the ratio of the volume of the original cone to the volume of the smaller cone?
(a) 4 : 1
(b) 8 : 1
(c) 2 : 1
(d) 6 : 1 

Q9. If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ratio of their heights will be 
(a) 3 : 8
(b) 8 : 3
(c) 9 : 2
(d) 8 : 1 

Q10. The ratio of the radius and height of a cone is 5 : 12. Its volume is 2200/7  cm^3. Its slant height is 
(a) 18 cm
(b) 13 cm 
(c) 16 cm
(d) 15 cm 

Q11. If the volumes of two right circular cones are in the ratio 1 : 3 and their diameters are in the ratio 3 : 5, then the ratio of their heights is 
(a) 25 : 27
(b) 1 : 5 
(c) 3 : 5
(d) 5 : 27 

Q12. The diameters of two cones are equal. If their slant heights be in the ratio of 5 : 7, then find the ratio of their curved surface areas. 
(a) 25 : 7
(b) 25 : 49  
(c) 5 : 49
(d) 5 : 7

Q13. A conical cap has the base diameter 24 cm and height 16 cm. What is the cost of painting the surface of the cap at the rate of 70 paise per sq cm?
(a) Rs. 520
(b) Rs. 524  
(c) Rs. 528
(d) Rs. 532 

Q14.The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm^2, then its volume is 
(a) 1632 cm^3
(b) 1078 cm^3
(c) 1232 cm^3
(d) 1848 cm^3 

Q15 The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by 
(a) 30%
(b) 31% 
(c) 32.25%
(d) 34.75% 

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