Valdez Hill
12/03/2023 · Junior High School
3. Air is being pumped into a spherical balloon so that its volume is increasing at a rate of \( 200 \mathrm{~cm}^{3} / \mathrm{s} \), how fast it the radius of the balloon increasing when the diameter is \( 60 \mathrm{~cm}(1 \mathrm{D}=2 \mathrm{r}) \) Hint: \( \mathrm{V}=\frac{4}{3} \pi r^{3} \) Answer: \( \underline{\mathrm{dr}} / \underline{\mathrm{dt}}=0.02 \mathrm{~cm} / \mathrm{s} \)
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The radius of the balloon is increasing at a rate of \( 0.02 \, \text{cm/s} \) when the diameter is \( 60 \, \text{cm} \).
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