Question

$<b>A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm. and its volume is [tex]\color{green}{frac{3}{2}$ of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal
3 1/7[/tex]

Answer 1

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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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Answer 2

Answer:

Hey Mate...............