Maths · Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
Volume and total surface area of a solid hemisphere are equal in magnitude. The
Volume and total surface area of a solid hemisphere are equal in magnitude. The volume is expressed in \( \mathrm{cm}^{3} \) and the area is expressed in \( \mathrm{cm}^{2} \). Find the radius of hemisphere.
- A. \( 3 \mathrm{cm} \)
- B. \( 4 \mathrm{cm} \)
- C. \( 4.5 \mathrm{cm} \)
- D. \( 5.5 \mathrm{cm} \)
Step-by-step solution
Volume of hemisphere = (2/3)πr³, total surface area = 3πr². Equating: (2/3)πr³ = 3πr² → (2/3)r³ = 3r² → 2r = 9 → r = 4.5 cm.
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