Question

the total surface area of a sphere made of mud is 616 sq.cm, two hemispheres are formed by cutting it into two equal parts. find the total surface area of each hemisphere

Answer 1

Answer:

467 sq.cm

Step-by-step explanation:

Given,

• The total surface area of a sphere made of mud is 616 sq.cm

i.e. , 4$\pi$r² = 616 sq.cm

So, radius of the sphere [r] = $\sqrt{\frac{616}{4\pi } }$ cm

• Two hemispheres are formed by cutting it into two equal parts.

So, curved surface area of one hemisphere = (Total surface area of sphere) ÷ 2

= 616 ÷ 2

= 313 sq.cm

Also the base circular area of a hemisphere = $\pi$r² = $\pi$ × $\frac{616}{4\pi }$ = $\frac{616}{4} = 154$ sq.cm

Then, total surface area of each hemisphere = 313 + 154 = 467 sq.cm

Hope it helps.

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