top of page

Revisions

Surface Area and Volume

Grade

10

Term

3

  1. Write the formula for the area of the curved surface of a right circular cylinder with radius r and height h.

  2. Write the formula for the total surface area of a closed right circular cylinder.

  3. Write the formula for the volume of a right circular cylinder.

  4. A solid log of wood is in the shape of a cylinder with a base radius of 7 cm and a height of 15 cm. Calculate its total surface area.

  5. Calculate the volume of the log described in question 4.

  6. The circumference of the base of a cylindrical vessel without a lid is 88 cm, and its height is 20 cm. Find the radius of its base.

  7. Using the information in question 6, calculate the total exterior surface area of the vessel.

  8. The volume of a cylindrical vessel is 6930 cm³ and its base area is 346.5 cm². Find the height of the cylinder.

  9. A rectangular metal sheet is 22 cm long and 11 cm wide. It is rolled to form a cylinder with a height of 11 cm. What is the volume of this cylinder?

  10. What is a right prism with a triangular cross-section? Describe its faces.

  11. Write the formula for the volume of a prism.

  12. Find the total surface area of a right prism of length 20 cm, whose cross-section is a right-angled triangle with sides containing the right angle measuring 3 cm and 4 cm.

  13. The cross-section of a prism is an equilateral triangle with a side length of 8 cm. If the volume of the prism is 400 cm³, find its length.

  14. A water tank is in the shape of a prism with a triangular cross-sectional area of 800 cm². Water is filled to a height of 30 cm. If this water is poured into a cuboid vessel of length 60 cm and breadth 20 cm, to what height will the water level rise?

  15. A solid semi-cylindrical metal object has a diameter of 28 cm and a length of 30 cm. How many solid metal cylinders of height 21 cm and radius 3.5 cm can be made by melting it without wastage?

වියාචනය (Disclaimer)

Idasara Academy ඉගෙනුම් සම්පත් නිර්මාණය කර ඇත්තේ සිසුන්ට මගපෙන්වීම, පුහුණුව සහ අධ්‍යයන උපායමාර්ග ලබාදී සහයෝගය දැක්වීමටය.

කෙසේ වෙතත්, සියලුම විභාග සහ නිල අවශ්‍යතා සඳහා, සිසුන් අනිවාර්යයෙන්ම ශ්‍රී ලංකා අධ්‍යාපන අමාත්‍යාංශයේ, අධ්‍යාපන ප්‍රකාශන දෙපාර්තමේන්තුව විසින් ප්‍රකාශයට පත් කරන ලද නිල පෙළපොත් සහ සම්පත් පරිශීලනය කළ යුතුය.

ජාතික විභාග සඳහා අන්තර්ගතයේ නිල බලය ලත් මූලාශ්‍රය වනුයේ රජය විසින් නිකුත් කරනු ලබන මෙම ප්‍රකාශනයි.

bottom of page