Total surface area of a lattu (top) as shown in the Fig. 12.5 is the sum of total surface area of hemisphere and the total surface area of cone. Write ‘True’ or ‘False’ and justify your answer
Solution:
From the figure we know that
Total surface area of a lattu = curved surface area of hemisphere + curved surface area of cone
Therefore, the statement is false.
✦ Try This: 25 circular plates, each of radius 10.5 cm and thickness 1.6 cm, are placed one above the other to form a solid circular cylinder. Find the curved surface area and the volume of the cylinder so formed.
It is given that,
250 circular plates each with radius 10.5 cm and thickness of 1.6 cm.
The total height as it is placed one above the other = 1.6 x 25 = 40 cm
Here
Curved surface area of a cylinder = 2πrh
Substituting the values
= 2π × 10.5 × 40
= 2640 cm²
Volume of the cylinder = πr²h
= π × 10.5² × 40
= 13860 cm³
Therefore, the curved surface area of the cylinder is 2640 cm2 and the volume of the cylinder is 13860 cm³.
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13
NCERT Exemplar Class 10 Maths Exercise 12.2 Sample Problem 4
Total surface area of a lattu (top) as shown in the Fig. 12.5 is the sum of total surface area of hemisphere and the total surface area of cone. Write ‘True’ or ‘False’ and justify your answer
Summary:
The statement “Total surface area of a lattu (top) as shown in the Fig. 12.5 is the sum of total surface area of hemisphere and the total surface area of cone” is false
☛ Related Questions:
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