Question
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Answer (Detailed Solution Below)
Option 4 : 10.5 cm / 10.5 सेमी
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Detailed Solution
सही उत्तर 10.5 cm / 10.5 सेमी है।
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Question:
The volume of a solid sphere is 4,851 cm³. What is its radius? (Use $\pi = \frac{22}{7}$) / एक ठोस गोले का आयतन 4,851 सेमी³ है। उसकी त्रिज्या कितनी है? ($\pi = \frac{22}{7}$ लें)
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9 cm / 9 सेमी
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12 cm / 12 सेमी
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10 cm / 10 सेमी
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10.5 cm / 10.5 सेमी
Correct Answer: 10.5 cm / 10.5 सेमी
$\frac{4}{3}\pi r^3 = 4851 \Rightarrow r^3 = \frac{4851 \times 3 \times 7}{4 \times 22} = 1157.625 = (10.5)^3$, so $r = 10.5$ cm. / $\frac{4}{3}\pi r^3 = 4851 \Rightarrow r^3 = \frac{4851 \times 3 \times 7}{4 \times 22} = 1157.625 = (10.5)^3$, अतः $r = 10.5$ सेमी।
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