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The area of triangle ABC=0
1/2(x(0-b)+a(b-y) +0(y-0))=0
0r -bx+ ab-ay +0=0
bx +by=ab
both side divide by ab
bx/ab + by/ab = ab/ab
x/a +y/b=1
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Let radius of the hemisphere be r.
According to the question,
Volume of hemisphere = Surface area of hemisphere
{tex}\frac { 2 } { 3 } \pi r ^ { 3 } = 3 \pi r ^ { 2 }{/tex}
{tex}r = \frac { 9 } { 2 }{/tex}units
Diameter of the hemisphere = 2( radius of the hemisphere)
{tex}\therefore \quad \text { diameter } = \frac { 9 } { 2 } \times 2 = 9{/tex}
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Drashti Vaish 7 years ago
2Thank You