Q. 185.0( 7 Votes )

Answer :

Toy is in the form of a cylinder with hemisphere ends

Total length of toy = 90 cm

Diameter of toy = 42 cm

Radius of toy = r = 21 cm

Length of cylinder = l = Total length of toy – 2 × Radius of toy

= 90 – 2 × 21 cm = 48 cm

For cost of painting we need to find out the curved surface area of toy

Curved surface area of cylinder = 2πrl

= 2 × 22/7 × 21 × 48 cm^{2}

= 6336 cm^{2}

Curved surface area of hemispherical ends = 2 × 2πr^{2}

= 2 × 2 × 22/7 × 21 × 21 cm^{2}

= 5544 cm^{2}

Surface area of toy = Curved surface area of cylinder + Curved surface area of hemispherical ends

Surface area of toy = 6336 cm^{2} + 5544 cm^{2} = 11880 cm^{2}

Cost of painting = Rs 0.70/cm^{2}

Total Cost of painting = Surface area of toy × Cost of painting

= 11880 cm^{2} × Rs 0.70/cm^{2} = Rs 8316.00

Total cost of painting the toy = Rs 8316.00

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