Question

a toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of base diameter 7cm. if the total height of the toy is 15.5 cm, find the surface area of the toy

Answer 1

hope this helps you ☺☺

Answer 2

Answer:

Step-by-step explanation:

Given: Radius of the cone= 3.5 cm,

Total height of the toy=15.5 cm

Height of the cone=15.5-3.5=12 cm

Now, slant height (l) is given by=$\sqrt{(12)^{2}+(3.5)^{2}}$

                                                   =$\sqrt{156.25}$

                                                   =$12.5$

Total surface area of the toy= curved surface area of cone+curved surface area of hemisphere

=${\pi}rl+2{\pi}r^{2}$

=${\pi}(3.5{\times}12.5)+2{\pi}(3.5)^{2}$

=$43.75{\pi}+2{\pi}(12.25)$

=${\pi}(43.75+24.5)$

=${\pi}(68.25)$

=$68.25{\times}3.14$

=$214.305 cm^{2}$