Question

Toys in the form of a cone mounted on a hemisphere the radius and the height of the cone 7cm and 8cm find the surface area of the toy

Answer 1

Answer:

542.86 Cm³

Step-by-step explanation:

Given--->Toy is in the form of a cone mounted on a hemisphere the radous and height of the cone is 7cm and 8cm .

To find---> Surface area of the toy.

Solution---> ATQ, Height of cone = 8 Cm

Radius of cone = 7 Cm

So, radius of hemisphere = radius of cone , because base of cone and hemisphere is same

Radius of hemisphere = radius of cone

=> Radius of hemisphere = 7 Cm

Let slant height of cone be l .

We know that,

l² = r² + h²

= ( 7 )² + ( 8 )²

= 49 + 64

l²= 113

=> l = √113 Cm

Curved surface area of cone = π r l

= π × 7 × √113

= ( 22 / 7 ) × 7 × 10.63

= 22 × 10.63

= 234.86 Cm²

Curved surface area of hemisphere = 2 π r²

= 2 × ( 22 / 7 ) × 7²

= 2 × 22 × 7

= 44 × 7

= 308 Cm²

Total surface area of toy = Curved sirface area of conical part + Curved surface area of hemispherical part

= 234.86 + 308

= 542.86 Cm²

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