Question

the height of cylinder is 3 cm and area of base is 100cm sq the cone is placed upon a cylinder so figure so formed is 500cm cub find height of figure

Answer 1

Heya !!

Here's your answer.. ⬇⬇
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Height of cylinder ( h1 ) = 3cm

Height of cone ( h2 ) = ?

Area of base ( πr² ) = 100cm²

Volume of cylinder = πr²h1
= ( πr²h ) × h1
= 100 × 3
= 300 cm³

Given that cone is placed upon a cylinder so Total Volume of figure is 500cm³

Volume of cylinder + Volume of cone = 500

300 + 1/3πr²h2 = 500

1/3 ( πr² ) × h2 = 500 - 300

1/3 × 100 × h2 = 200

100 × h2 = 200 × 3

100 × h2 = 600

h2 = 6

Height of cone ( h2 ) is 6cm.
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Hope it helps..
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Answer 2

Answer:

Height of cylinder ( h1 ) = 3cm

Height of cone ( h2 ) = ?

Area of base ( πr² ) = 100cm²

Volume of cylinder = πr²h1

= ( πr²h ) × h1

= 100 × 3

= 300 cm³

Given that cone is placed upon a cylinder so Total Volume of figure is 500cm³

Volume of cylinder + Volume of cone = 500

300 + 1/3πr²h2 = 500

1/3 ( πr² ) × h2 = 500 - 300

1/3 × 100 × h2 = 200

100 × h2 = 200 × 3

100 × h2 = 600

h2 = 6

Height of cone ( h2 ) is 6cm.