The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.
What is lateral surface area?
The lateral surface area of a figure is the area of the non-base faces only. The lateral surface of an object is all of the sides of the object, excluding its base and top.
For the given situation,
The diagram shows the cone A and the cylinder B.
Cone A has the radius r and the slant height as h.
Cylinder B has the radius r and the height as h.
The lateral surface area of cone is [tex]\pi rh[/tex]
The lateral surface area of cylinder is [tex]2\pi rh[/tex]
1/2 × lateral surface area of cylinder B,
⇒ [tex]\frac{1}{2} (2\pi rh)[/tex]
⇒ [tex]\pi rh[/tex] = lateral surface area of cone A.
Hence we can conclude that the lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.
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