Question

What is the volume of a sphere with a radius of 1/4

Answer 1

What is the volume of a sphere with a radius of 1/4

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$\bold{volume \: of \: cube \: = \: \frac{1}{3} \times \pi \times {r}^{3} }$

putting given value in formula

$\implies \: \: \frac{1}{3} \times \frac{22}{7} \times ( \frac{1}{4} ) {}^{3}$

$\implies \: \: \frac{1}{3} \times \frac{22}{7} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}$

$\implies \: \: \frac{22}{21} \times \frac{1}{64} \\ \\ \implies \: \: \frac{22}{1344}$

$volume \: = \: \frac{22}{1344}$

same can be done while talin pi as 3.14 ..... and you will be able tp get answer as decimal , so lets try that : -

$\implies \: \: \frac{1}{3} \times 3.14 \times ( \frac{1}{4} ) {}^{3} \\ \\ \implies \: \frac{1}{3} \times \frac{1}{64} \times 3.14$

$\implies \: \: \frac{1}{192} \times 3.14$

ans _ 0.01635416666

Answer 2

Answer:π/48

Step-by-step explanation:

radius(r)=1/4

Volume of sphere=4/3 x π x r^3

volume of sphere =4/3 x π x (1/4)^3

Volume of sphere=4/3xπx1/4x1/4x1/4

Volume of sphere=4π/192

Volume of sphere=π/48