धातु की बने 28 cm व्यास को एक अर्द्धवृत्ताकार पतली चादर को मोड़कर शंक्वाकार प्याला बनाया
गया है। प्याले की धारिता ज्ञात करें।
Answers
Given:
धातु की बने 28 cm व्यास को एक अर्द्धवृत्ताकार पतली चादर को मोड़कर शंक्वाकार प्याला बनाया गया है। प्याले की धारिता ज्ञात करें।
A semicircular thin sheet of metal of diameter 28 cm is bent to make an open conical cup find the capacity of the cup.
To find:
प्याले की धारिता ज्ञात करें।
The capacity of the cup.
Solution:
The diameter of the semi-circle, d = 28 cm
So, the radius of the semi-circle, r =
We know that,
When a semi-circular sheet is bent into an open conical cup, then its radius becomes the slant height of the cone and the circumference of the sheet becomes the circumference of the base of the cone.
Therefore,
Slant height of the conical cup, l' = Radius of the circular sheet, r = 14 cm
and
Circumference of the base of the conical cup is,
= Circumference of the semi-circular sheet
=
=
=
Let "r' " be the radius of the base of the conical cup.
∴
Let " h' " be the height of the conical cup.
∴
on substituting the values of l' and r', we get
We know,
Now,
The capacity of the conical cup is,
= Volume of the conical cup
=
=
=
=
Thus, the capacity of the conical cup is → 622.38 cm³.
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