A semicircular region circumscribes a circle which symmetrically fits

1.	A semicircular region circumscribes a circle which symmetrically fits into it. If a dice is rolled inside the semicircular part only what is the probability that the dice will fall in the circular regionplease don't give useless answer it is urgent
Answer» Answer: Radius of semi - circular piece =14 cm CIRCUMFERENCE of semi - CIRCLE = πr=722×14 =44 cm ∴ Circumference of base of cone =44 cm ⇒2πR=44cm⇒R=2×2244×7=7cm Radius of semi - circular sheet = slant height of CONICAL CUP ⇒l=14cm Now, R2+h2=l2⇒72+h2=142⇒h=196−49=147=73cm ∴ CAPACITY of cup =31πR2h=31×722×7×7×73=622.3cm3

A semicircular region circumscribes a circle which symmetrically fits into it. If a dice is rolled inside the semicircular part only what is the probability that the dice will fall in the circular regionplease don't give useless answer it is urgent

Answer»

Answer:

Radius of semi - circular piece =14 cm

CIRCUMFERENCE of semi - CIRCLE = πr=722×14

=44 cm

∴ Circumference of base of cone =44 cm

⇒2πR=44cm⇒R=2×2244×7=7cm

Radius of semi - circular sheet = slant height of CONICAL CUP ⇒l=14cm

Now, R2+h2=l2⇒72+h2=142⇒h=196−49=147=73cm

∴ CAPACITY of cup =31πR2h=31×722×7×7×73=622.3cm3

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A semicircular region circumscribes a circle which symmetrically fits into it. If a dice is rolled inside the semicircular part only what is the probability that the dice will fall in the circular regionplease don't give useless answer it is urgent ​

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A semicircular region circumscribes a circle which symmetrically fits into it. If a dice is rolled inside the semicircular part only what is the probability that the dice will fall in the circular regionplease don't give useless answer it is urgent