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the form of a cone mounted on a hemisphere. The diameter of the base and thefthe cone are 6 cm and 4 cm respectively. Determine the surface area of the toy,1. A toy is in the formheight of the cone arefuse it = 3.147 |
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Answer» Given : For cone -1. Height of the cone = 4cm 2. diameter of the cone = 6cm 3.radius of the cone = = 3cm Slant height of the cone l = √r²+h² ⇒ l = √3²+4² ⇒ l = √9+16 ⇒ l = 5 Lateral surface area of the cone = πrl ⇒ 3.14 × 3 × 5 ⇒ 3.14 × 15 ⇒ 47,10 cm² For Hemisphere - 1. Diameter of the hemisphere = 6cm 2. Radius of hemisphere = 3cm Lateral surface area of hemisphere = 2πr² ⇒ 2 × 3.14 × 3²⇒ 2 × 3.14 × 9 ⇒ 18 × 3.14 ⇒ 56.52 cm² The surface are of toy = lateral surface area of cone + lateral surface area of hemisphere ⇒ 47.10 + 56.52 ⇒ 103.62cm³ ∴ The total surface area of toy = 103.62cm³ |
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