Question

A cube of side r is inscribed in a sphere.the sphere is inscribed in a cone with height equal to the diameter of its base.The cone is inscribed in a right circular cylinder.Then the curved surface area of the cylinder is

Answer 1

Answer:

if we put all th geometric shapes inside the cylinder then also the curved surface area remains the same hey please follow me and mark it brainliest

Answer 2

Curved surface area of the cylinder = 31.37× R²

Given:

• A cube of side r is inscribed in a sphere.
• The sphere is inscribed in a cone with height equal to the diameter of its base.

• The cone is inscribed in a right circular cylinder.

Find:

        The curved surface area of the cylinder.

Explanation:

• The diagram is given in 2 D diagram i will show in figure.
• Side of cube is "R"
• From given figure.
• From Pythagoras theorem Diameter of sphere=$\sqrt{2}$ × R
• Radius of sphere = $\frac{\sqrt{2} }{2}$ × R = $\frac{R}{\sqrt{2} }$
• From property of equilateral  triangle centroid is divide the medians in the ratio 2:1
• From Pythagoras theorem radius of base of cone = 1.58 × R
• Diameter of base of cone = 3.16 × R
• So from given configuration Height of cylinder = 3.16 × R
• Curved surface area of the cylinder = $\pi$ × Diameter × Height

                                                            =31.37× R²

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