Math, asked by shikhaupadhyay, 4 months ago

find the height of a cylindrical whose volume is 17600 cm² and base radius is 20 cm

Answers

Answered by swarupshadow
0

Step-by-step explanation:

There is an mistake in question

reason - VOLUME ALWAYS HAVE CUBE IN ITS UNIT but in the question it is square

Answered by Anonymous
20

\huge{\textsf{\textbf{\color{purple}{Question:-}}}}

Find the height of a cylinder whose volume is 17600cm³ and base radius is 20cm.

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\huge{\textsf{\textbf{\color{purple}{Answer:-}}}}

  • Base radius = 20cm
  • Volume given = 17600cm³
  • Height = ?
  • Volume formula of a cylinder = πr²h

==> 17600cm³ = \frac{22}{7}×(20cm)×(20cm)×h

==> 17600cm³ = \frac{22}{7}×(400cm)×h

==> 17600cm³ = \frac{8800}{7}×h

==> 17600cm³ × 7 = 8800 × h

==> 123,200 = 8800 × h

==> \frac{\cancel1\cancel2\cancel3\cancel2\cancel0\cancel0}{\cancel8\cancel8\cancel0\cancel0}=h

==> Height = 14cm

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Therefore, the height of a cylinder whose volume is 17600cm³ and base radius is 20cm is 14cm.

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