Question

Auto is made in the form of hemisphere surmounted by a right cone the radius of cone is 3.5 and its volume is 2 3rd find the height of cone and surface area

Answer 1

Answer:

Step-by-step explanation:

Radius of cone and hemisphere = 7 cm

Height of cone be h cm

Now, volume of hemisphere = (2/3)πr³

Volume of cone = (1/3)πr²h

A/q

(1/3)πr²h = (3/2)×[(2/3)πr³]

⇒h = 3r = 3×7 = 21 cm

Now, surface area

Slant height, l = √[(21)² +(7)²] = 7√10 cm = 22.13

Total surface area = (curved surface area of cone + hemisphere)

                            = (πrl + 2πr²)

                            =[(22/7)×7×22.13) + 2(22/7)×(7)²]

                            = 486.86 +308 

                            =794.86 cm²

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