2. A piece of paper is in the shape of a semi-circular region of radius 20cm. If is
rolled to form a right circular cone. The slant height is. with steps
a. 5 cm
b. 10cm
C. 20 cm
d. 25 cm
Answers
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2
Answer:
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Step-by-step explanation:
Answered by
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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
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