Question

1.The volume of a hemisphere is 89 5/6 cm3. Find its curved surface area. ​

Answer 1

Answer:

Curved surface area = 77 cm².

Step-by-step explanation:

Given, volume of hemisphere = $89\frac{5}{6} = \frac{539}{6} cm^{3}$

           $\frac{2}{3} \pi r^{3} = \frac{539}{6}$

           $\frac{2}{3}*\frac{22}{7} *r^{3} = \frac{539}{6}$

           $r^{3}= \frac{343}{8}$

           $r= \frac{7}{2}$

Now, curved surface area  $=2\pi r^{2}$

                                            $=2*\frac{22}{7}*\frac{7}{2}*\frac{7}{2}$

                                            $=77$

Thus, curved surface area = 77 cm².

                                           

Answer 2

Answer:

curved surface area is 77 cm².

Step-by-step explanation:

As per the data given in the questions we have to find curved surface area.

As per the questions it is given that the volume of a hemisphere is 89 5/6 cm3 .

As we know that The curved surface area of a hemisphere = 2πr2 square units. We know that the base of the hemisphere is circular in shape, use the area of the circle.

Volume of sphere = $\frac{2}{3}\pi r^{3}$

According to question 89$\frac{5}{6}$ = $\frac{2}{3}\pi r^{3}$  

⇒539/6 = $\frac{2}{3}*\frac{22}{7}*r^{3}$

⇒$\frac{539}{6}=\frac{44r^3}{21}$

⇒r= $\frac{7}{2}$

Now, curved surface area  = $2\pi r^{2}$

 = 2*$\pi$*$\frac{7}{2}*\frac{7}{2}$

  = 77

Therefore, the curved surface area = 77 cm²

Hence, curved surface area is 77 cm².

For such type of questions:

https://brainly.in/question/30700804

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