Question

A piece of cake takes the shape of half of a cylinder of diameter 14cm and height 10cm.Find the total surface area and volume of the cake.

Answer 1

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Answer 2

The total surface area and the volume of cake are 374 sq.cm. and 770 cubic cm

Step-by-step explanation:

Diameter of cylinder = 14 cm

Radius of cylinder =$\frac{Diameter}{2}=\frac{14}{2}=7 cm$

Height of cylinder = 10 cm

Total surface area of cylinder = $2\pi r h +2 \pi r^2=2 \times \frac{22}{7} \times 7 \times 10 +2 \times \frac{22}{7} \times 7^2=748 cm^2$

A piece of cake takes the shape of half of a cylinder

So, Surface area of cake =$\frac{748}{2}=374 cm^2$

Volume of cylinder = $\pi r^2h$

Volume of cake = $\frac{1}{2} \times \frac{22}{7} \times 7^2 \times 10=770 cm^3$

Hence The total surface area and the volume of cake are 374 sq.cm. and 770 cubic cm

#Learn more :

A piece of cake is cut in the shape of a sector of a circle of radius 7 cm. The thickness of the piece of cake in 9 cm. Find the curved surface area and the volume of the piece of the cake??(angle=120°)

https://brainly.in/question/8082751