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Question
The capacity of a closed cylindrical vessel of height 1 m is 15.4 L. How many square metres of metal sheet would be needed to make it?
Solution
Height of cylindrical vessel = 1 m
Capacity of the cylindrical vessel = 15.4 L
In metre cube = `15.4/1000` = 0.0154 m3 ...[∵ 1 m3 = 1000 L]
Volume of a cylinder = πr2h
⇒ `22/7 xx r^2 xx 1 = 0.0154`
⇒ `r^2 = 0.0154/3.14 = 0.0049`
⇒ `r = sqrt(0.0049) = 0.07 m`
∴ Metal of sheet required = 2πrh
= `2 xx 22/7 xx 0.07 xx 1`
= 0.4396
= 0.44 m2
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Assertion (A)
The curved surface area of a cone of base radius 3 cm and height 4 cm is 15π cm2.\
Reason (R)
Volume of a cone = πr2h
- Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
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- Assertion (A) is true and Reason (R) is false.
- Assertion (A) is false and Reason (R) is true.
The volume of a sphere is 4851 cm3. Its diameter is ______.
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. The curved surface area of the bucket is ______.
