Question

a spherical ball is divided into 2 equal parts if the curved surface area of each half is 56. 57 centimetres square find the volume of spherical ball

Answer 1

Hi Friend , 
The surface area of a sphere is 4πr2So half a sphere is 2πr2If the surface area of half a sphere is 56.57 cm2, we can solve for the radius, r. 56.57 = 2(3.14)r2r2 = 9r = 3 Now the volume of a sphere is v = 4/3 πr3v = 4/3 (3.14)(33) = 113,04 cm3

Wish it helps : )

Answer 2

Formula we will be using:
(i) Surface area of a sphere=$4 \pi r^2$
(ii)Volume of a sphere= $\frac{4}{3} \pi r^3$
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Given, curved surface area of the half sphere=$56.57cm^2$
Let the radius of the sphere be r.

Then, curved surface area of the half sphere= $\frac{\text{Surface area of sphere } }{2}$=$\frac{4 \pi r^2}{2}=2 \pi r^2$

According to problem,
$2\pir^2=56.57$
Divide both sides by 2:
$\pi r^2= \frac{56.57}{2}$
$\pi r^2=28.285$
Plug in $\pi = \frac{22}{7}$
$\frac{22}{7}r^2=28.285$
Multiply both sides 7:
$22r^2=197.995$
Divide both sides by 22:
$r^2=8.99977$≈9
Square root both sides:
$r= \sqrt{9}=3$


To find the volume of the spherical ball, plug in r= 3 and $\pi = \frac{22}{7}$in the volume formula:
Volume of the spherical ball
$= \frac{4}{3} \pi r^3$
$= \frac{4}{3} * \frac{22}{7} 3^3$
$=113.14 cm^3$

Answer: $113.14cm^3$