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A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmounted on it. If the common radius is 7 m and height of the cone is 1 m, what is the area of cloth required?
A) 262.39m2
B) 463.39m2
C) 662.39m2
D) 563m2
pls help me! :(​

Respuesta :

Sofia5870101

Answer:

  • ▶(B) 463.39 m²

Step-by-step explanation:

[tex] \space[/tex]

Surface area of hemisphere = 2πr²

=> 2×22/7× (7)² = 308 m²

☯For calculating the surface area of a cone we need to calculate its slant height,

[tex] \sf{ \leadsto \: 1 = \sqrt{49 + 1} = \sqrt{50 \: } m}[/tex]

[tex] \space[/tex]

[tex] \sf{ \leadsto \: \pi \ r1 = \frac{22}{7} \times 7 \times \sqrt{50} = 463.39 \: {m}^{2} }[/tex]

[tex] \: \: [/tex]

Hope it helps!

Have a great day! :)

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