A semicircular sheet of paper of diameter 40 cm is folded and joined along the straight edges to form a cone. Calculate the base radius and the slant height of the cone.
Answers
10th
Maths
Surface Areas and Volumes
Conversion of Solid from One Shape to Another
A semicircular piece of pap...
MATHS
A semicircular piece of paper of radius 14 cm is rolled to form a cone of the largest possible size. Find the capacity of the cone.
EASY
ANSWER
Radius of semi - circular piece =14 cm
Circumference of semi - circle = πr=
7
22
×14
=44 cm
∴ Circumference of base of cone =44 cm
⇒2πR=44cm⇒R=
2×22
44×7
=7cm
Radius of semi - circular sheet = slant height of conical cup ⇒l=14cm
Now, R
2
+h
2
=l
2
⇒7
2
+h
2
=14
2
⇒h=
196−49
=
147
=7
3
cm
∴ Capacity of cup =
3
1
πR
2
h=
3
1
×
7
22
×7×7×7
3
=622.37cm
3
Answered By
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