the volume of a cone is same as that of a cylinder whose height is 3 cm and radius is 10 cm find radius of base of cone if its height is 36 CM
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Answer :
- Radius of base of cone is 5cm
Given :
- The volume of a cone is same as that of a cylinder whose height is 3cm and radius is 10cm
To find :
- The radius of base of cone if its height is 36cm
Solution :
First we need to find the volume of cone
Given ,
- Height is 3cm
- Radius is 10cm
As we know that,
- Volume of cylinder = πr²h
Where, r is radius 10cm and h is height 3cm
》22/7 × 10 × 10 × 3
》6600/7 cm³
Hence, Volume of cone is 6600/7 cm³
And also Given,
- Height is 36cm
- Then the radius of cone be r1
As we know that,
- Volume = 1/3 πr1²h
》1/3 πr1²h = 6600/7
》1/3 × 22/7 × r1² × 36 = 6600/7
》 r1² = 6600 × 7 × 3 / 7 × 22 × 36
》r1² = 25
》r1 = √25
》R1 = 5cm
Hence , Radius of base of cone is 5cm
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