X Surface area and Volume Sample paper

Q1.If the radii of the circular ends of a conical bucket, which is 16 cm high, are 20 cm and 8 cm, Find the capacity and the total surface area of the bucket. (10459.43cu.cm, 1961.14 sq. cm) 

Q2. Find the volume of right circular cylinder which has a height of 21cm and base radius 5cm.Find also the curved surface area. (1650 cu cm, 660 sq cm.) 

Q3. The base radii of two right circular cones of same height are in the ratio 3:5.Find the ratio of their volumes. (9:25) 

Q4. The circumference of the base of a 16m high solid cone is 3m.Find the volume of cone.(3.818 m3)

Q5 A circus tent is cylindrical upto a height of 3m and conical above it. If the diameter of the base is 105 m and the slant height of the conical part is 53 m. Find the total canvas used in making the tent. (9735 sq m.)


 Q6. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10cm and its base is of radius 3.5 cm. Find the total surface area of the article. (374 sq. cm)


Q7. A solid consists of a cylinder with a cone on one end and a hemisphere on the other end. If the length of the entire solid is 12.8cm and the diameter and height of the cylinder are 7cm and 6.5cm respectively. Find the total surface area of the solid. (269.28sq cm) 

Q8. A cylindrical container is filled with ice cream, whose radius is 6cm and height 15cm. The whole ice cream is distributed among 10 children in equal cones having hemispherical top .If the height of the conical portion is four times the radius of its base .Find the radius of the base of the cone. (3cm) 

Q9. A solid toy is in the form of a hemisphere surmounted by a right circular cone. Height of the cone is 2cm and the diameter of the base is 4cm.If a right circular cylinder circumscribes the solid, find how much more space it will cover. (π = π) (8 π cm3) 
Q 10. Water in a canal, 6m wide and 1.5m deep is flowing with a speed of 10km/hr.How much area will it irrigate in 30 minutes, if 8cm of standing water is needed. (56.25 hectares).



10TH MATHS BY JSUNIL": X Surface area and Volume Excel exercise: 1. Find the edge of a cube of volume equal to the volume of a cuboid of dimensions 63 cm × 56 cm × 21 cm. 2. Find the number of 5 cm cubes ...
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Quadratic Equations	Circles	Co-ordinate Geometry
Arithmetic Progressions	Area Related to Circles	Probability
Height and Distance	Surface Areas and Volumes	Sample papers