the base area of a cylinder is 25 square centimetre and its volume is 400 cute cm what is its height
Answers
Answered by
12
Hi friend,
Base area of cylinder = πr²
25 = 22/7 ×r²
r² = 25×7/22 = 7.9
r² = 7.9
r = ✓7.9 = 2.8 cm
Volume of cylinder = πr²h
400 = 22/7 × 2.8 × 2.8 × h
H = 400 × 7 / 22 × 2.8 × 2.8
H = 2800/172.48
H = 16.2 CM
Hence,
Height of the cylinder = 16.2 cm
HOPE IT WILL HELP YOU..... :-)
Base area of cylinder = πr²
25 = 22/7 ×r²
r² = 25×7/22 = 7.9
r² = 7.9
r = ✓7.9 = 2.8 cm
Volume of cylinder = πr²h
400 = 22/7 × 2.8 × 2.8 × h
H = 400 × 7 / 22 × 2.8 × 2.8
H = 2800/172.48
H = 16.2 CM
Hence,
Height of the cylinder = 16.2 cm
HOPE IT WILL HELP YOU..... :-)
Answered by
2
Hi...☺
Here is your answer...✌
GIVEN THAT,
Base Area of Cylinder = 25 cm²
πr² = 25 cm² ____(1)
And
Volume of Cylinder = 400 cm³
πr²h = 400 cm³ ____(2)
Dividing eq(2) by eq(1)
We get,
(πr²h) / (πr²) = 400 cm³/25 cm²
h = 16 cm
HENCE,
Height of Given Cylinder is 16 cm
Here is your answer...✌
GIVEN THAT,
Base Area of Cylinder = 25 cm²
πr² = 25 cm² ____(1)
And
Volume of Cylinder = 400 cm³
πr²h = 400 cm³ ____(2)
Dividing eq(2) by eq(1)
We get,
(πr²h) / (πr²) = 400 cm³/25 cm²
h = 16 cm
HENCE,
Height of Given Cylinder is 16 cm
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