Question

the volume of hemisphere is 24251/2 cm³.find its curved surface area

Answer 1

Here's your answer...

Answer 2

The curved surface area of hemisphere is 693 cm².

Step-by-step explanation:

The volume of hemisphere is $2425\frac{1}{2}$.

$2425\frac{1}{2}=2425.5$

Volume of hemisphere:

$V=\dfrac{2}{3}\pi r^3$

Substitute V=2425.5 and $\pi=\frac{22}{7}$ in above formula.

$2425.5=\dfrac{2}{3}(\frac{22}{7})r^3$

$2425.5=\dfrac{44}{21}r^3$

Multiply both sides by 21.

$2425.5\times 21=44r^3$

$50935.5=44r^3$

Divide both sides by 44.

$\dfrac{50935.5}{44}=r^3$

$1157.625=r^3$

Taking cube root on both sides.

$10.5=r$

The radius of the hemisphere is 10.5.

Curved surface area of a hemisphere is

$A=2\pi r^2$

Substitute r=10.5 and $\pi=\frac{22}{7}$ in the above formula.

$A=2(\frac{22}{7})(10.5)^2$

$A=693$

Therefore, the curved surface area of hemisphere is 693 cm².

#Learn more

The volume of hemisphere is 24251/2 find its curved surface area.

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