Question

A toy is made in the form of hemisphere surmounted by a cylinder whose circular base is joined with plane surface of the hemisphere.The radius of the base of the cylinder is 14 cm.and it's total surface area is 2728 cm. Find the height of the toy ​

Answer 1

given

givenradius of cylinder=14cm

givenradius of cylinder=14cmtotal surface area=2728

givenradius of cylinder=14cmtotal surface area=27282×22/7×14×h+2×22/7×14×14=2728

2×22×2×h+2×22×2×14=2728

88×h+1232=2728

88×h=2728-1232

88×h=1496

h=1496÷88

h=17cm

Answer 2

Step-by-step explanation:

Total surface area =curved surface area of cylinder +curved surface area of hemisphere

= 2πrh +2πr^2

=2πr(h+r)

By given

TSA =2728

2πr(h+r)=2728

2(22/7)(14)(h+14)=2728

2*22*2(h+14)=2728

22(h+14)=2428

11(h+14)=682

h+14=31

h=31-14

h=17

Hence, height of the toy =17 cm

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