Question

the surface area of sphere is 11088 cm square . find its diameter and volume​

Answer 1

Step-by-step explanation:

$surface \: area \: of \: sphere = 4\pi {r}^{2} \\ = 110088 \\ {r}^{2} = 110088 \times 7 \div 4 \times 22 \\ {r }^{2} = 126 \times 7 \\ {r}^{2} = 882 \\ r = \sqrt{882} \\ r = 21 \sqrt{2} \\ d = 2 \times r \\ d = 21 \sqrt{2} \times 2 \\ d = 42 \sqrt{2} \\ \\ v = 4 \div 3 \times \pi {r}^{3} \\ v = 4 \times 22 \times 21 \sqrt{2} \times 21 \sqrt{2} \times 21 \sqrt{2} \\ v = 77616 \sqrt{2}$

Answer 2

Diameter of sphere is 42√2 cm

Volume of sphere is 77616√2 cm³

Step-by-step explanation:

The surface area of the sphere = 11088 cm²

The formula for surface area of sphere is given by

S = 4πr²

11088 = 4πr²

r² = 11088/4π

Take π = 22/7

$r^2=\frac{11088}{4\cdot\frac{22}{7}}\\\\r^2=882\\\\r=21\sqrt2$

Now, diameter is twice the radius.

Thus, diameter of sphere is given by

d = 2 r

d = 2×21√2

d = 42√2 cm

Volume of sphere is given by

$V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\times\frac{22}{7}\times(21\sqrt2)^3\\\\V=77616\sqrt2\text{ cm }^3$

#Learn More:

The area of a circular plot is double the area of rectangular plot if area of the rectangular plot is 11088 m square then find the circumference of the circular plot

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