A circular cake has radius 12 cm and height 7 cm. The uniform cross-section of a slice of the cake is a sector with angle 22°. The top and the curved surface of the slice, shaded in the diagram, are covered with chocolate. Calculate the area of the slice which is covered with chocolate.

Answers

Answer 1

Therefore, the given  area of the slice which is covered with chocolate = 276.57 c[tex]m^{2}[/tex]

What is area ?

Area is a mathematical notion that describes the size of a region on a planar or curved surface. A surface area is the area of an open surface or the border of a three-dimensional object, whereas a plane region's or plane's area's refers to a shape's or planar lamina's area.

Here,

Given :

circular cake radius = 12 cm

circular cake height = 7 cm

thus,

the area of the slice which is covered with chocolate = θ/360 *π[tex]r^{2}[/tex]

=> 22/360 * 3.14 *12*12

=> 22/360 * 3.14 *144

=>69.08/360 * 144

=> 276.57 c[tex]m^{2}[/tex]

Therefore the given  area of the slice which is covered with chocolate = 276.57 c[tex]m^{2}[/tex]

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