a toy consist of cylinder with cone at one end and hemisphere at another end height of cone is 6 - Maths - Surface Areas and Volumes

Question

a toy consist of cylinder with cone at one end and hemisphere at
another end height of cone is 6 cm and that of hemisphere is 10cm
with radius of 3 5cm each Find the totle surface area of the toy
?(answar with steps)

Aakash Sharma · Accepted Answer

Given : Radius of base of cone, cylinder and hemisphere (r) = 3 5 cm , Height of the cylinder (H) = 10 cm and Height of the cone (h) = 6 cm Now T S A of toy = C S A of cone + C S A of cylinder + C S A of hemisphere = Ï€rl + 2Ï€rH + 2Ï€r2 = Ï€r (l + 2H + 2r) $= \frac{22}{7} \times 3 5 (6 94 + 2 \times 10 + 2 \times 3 5) {cm}^{2} [∵ l = \sqrt{h^{2} + r^{2}} = \sqrt{6^{2} + {3 5}^{2}} = \sqrt{36 + 12 25} = \sqrt{48 25} = 6 94 cm (approx)] = 11 \times 33 94 {cm}^{2} = 373 34 {cm}^{2} (approx)$ Hence the total surface area of the given toy is approximately 373 34 cm2

a toy consist of cylinder with cone at one end and hemisphere at another end.height of cone is 6 cm and that of hemisphere is 10cm with radius of 3.5cm each.Find the totle surface area of the toy.?(answar with steps).