Which of the following represents the total surface area of a sphere?
\(4\pi r^2\)
A sphere has a single continuous curved surface with no flat faces, so its total surface area is just that curved area.
The standard result for a sphere of radius r is total surface area \(=4\pi r^2\).
This equals four times the area of a great circle \(\pi r^2\) of the sphere.
Hence, the answer is \(4\pi r^2\).
Similar Questions
A conical tent has a base radius of 14 m and a height of 48 m. How many cubic meters of air can it hold? (Use \(\pi\) = )
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A solid right circular cone is 7 cm high, and the radius of its base is 22.2 cm. It is melted
and recast into a right circular cone with radius of its base 3.7 cm. Then the height (in
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A plane parallel to the base divides a cone of height 40 cm into two parts. If the volume
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Important Questions from 3-D Mensuration
- Find the surface area of a sphere whose diameter is equal to 98 cm.
- A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is $\frac{2}{3}$ full. Find the volume (in cm³) of water in the vessel.
- A solid metallic sphere of radius 10 cm is melted and recast into 125 identical spheres. What is the ratio of the surface area of the original sphere to the total surface area of 6 smaller spheres so formed?
- Find the volume (in cm³) of the largest right circular cone that can be cut out from a cube with an edge of 8 cm. Use $\pi = \frac{22}{7}$
- The volume of a solid cylinder is 5852 cm³ and its height is 38 cm. What is the total surface area of the solid cylinder? (Round your answer to the nearest integer) (Use $\pi = \frac{22}{7}$)
