If the total surface area of a hemisphere is 462 cm2, calculate its radius.
7 cm
Total surface area of a (solid) hemisphere \(= 3\pi r^2\).
\(3 \times \frac{22}{7} \times r^2 = 462 \Rightarrow r^2 = \frac{462 \times 7}{66} = 49\)
\(r = \sqrt{49} = 7\) cm.
Hence, the radius of the hemisphere is 7 cm.
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Important Questions from 3-D Mensuration
Find the total surface area of a closed cylinder having a base radius of 70 m and a height of 110 m. [Use π = \(22\over7\)]
- The curved surface area of a cylinder is half of its total surface area. If its height is 195 cm, then find its diameter (in cm).
The diameter of the base and slant height of a right circular cone are 30 cm and 113 cm, respectively. Find the volume (in cm³) of the given cone.
(Use $\pi = \frac{22}{7}$)- A cylindrical rod has an curved surface area of $4,900 \text{ cm}^2$. If the length of the rod is 97 cm, then the radius (in cm) of the rod, correct to two places of decimal, is:
Take $\pi = \frac{22}{7}$ - The volume (in $m^3$) of a cube, each of whose edges is 42 m, is:
