Question

the surface area of sphere is 544 square.find the volume of the sphere

Answer 1

Answer:

Step-by-step explanation:

Surface area of sphere=4*π*r*r

544. = 4*22/7*r*r

43.27. =r*r

Taking square root on both sides

6.57=r

Volume of sphere=4/3XπXrXrXr

=4/3X22/7X6.57X6.57X6.57

=1188.37cu.cm

Answer 2

Formula for surface area of the sphere is
$4\pi {r}^{2}$
where r = radius of sphere
Formula for volume of sphere is
$\frac{4}{3} \pi {r}^{3}$
we have been given the area = 544 cm^2
$4\pi {r}^{2} = 544$
${r}^{2} = \frac{544}{4\pi}$
${r}^{2} = \frac{544 \times 7}{4 \times 22}$
${r}^{2} = \frac{136 \times 7}{22}$

${r}^{2} = \frac{952}{22}$
${r}^{2} = 43.27$
$r = 6.58$
Let's insert the value of r in the formula for the volume of sphere,
$\frac{4}{3} \pi {r}^{3}$
$\frac{4}{3} \times \frac{22}{7} \times {6.58}^{3}$
$\frac{88}{21} \times 284.89$
$4.19 \times 284.89$
$1193.68$

Therefore, the volume of the sphere is 1193.68 cubic cms.
Thank you :) <3