Question

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​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

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