Consider the following two statements: Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm3 (Take π = 22/7). Statement (II): Total surface area of…
Question and options
Consider the following two statements:
Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm3 (Take π = 22/7).
Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm2 (Take π= 22/7).
In light of the given statements, choose the most appropriate answer from the given options.
- Both Statement I and Statement II are true.
- Both Statement I and Statement II are false.
- Statement I is true but Statement II is false.
- Statement I is false but Statement II is true.
Answer and explanation
Correct answer: A - Both Statement I and Statement II are true.
(I) V = (22/7)*49*10 = 1540 cm^3: true. (II) TSA = 2*pi*r(r+h) = 2*(22/7)*14*44 = 88*44 = 3872 cm^2: true.
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