Verified by Ajay Kumar
The numerical value of the volume of a hemisphere is equal to the numerical value of its total surface area. What is the radius of this hemisphere in units?
8 units
4.5 units
5.5 units
6 units
Answer: B
Volume = \(\frac23\pi r^3\) and total surface area = \(3\pi r^2\). Equating them gives \(\frac23\pi r^3=3\pi r^2\). Therefore, r = 4.5 units.
एक अर्धगोले के आयतन का संख्यात्मक मान उसके कुल पृष्ठीय क्षेत्रफल के संख्यात्मक मान के बराबर है। इस अर्धगोले की त्रिज्या कितनी होगी (यूनिट में)?
8 यूनिट
4.5 यूनिट
5.5 यूनिट
6 यूनिट
उत्तर: B
आयतन = \(\frac23\pi r^3\) और कुल पृष्ठीय क्षेत्रफल = \(3\pi r^2\)। दोनों बराबर रखने पर \(\frac23\pi r^3=3\pi r^2\)। अतः r = 4.5 यूनिट।
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