What is (4/3)pi2400^3 ?

The solution to (4/3)pi2400^3 is 18432000000pi

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simplify (4/3)pi2400^3

simplify

(\frac{4}{3}) π 240 0^{3}

18432000000 π

Decimal Notation

57905835791

Solution steps

(\frac{4}{3}) π 240 0^{3}

Remove parentheses:

(a) = a

= \frac{4}{3} π 240 0^{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 π 240 0 ^{3}}{3}

Factor

240 0^{3} : 2^{15} \cdot 5^{6} \cdot 3^{3}

= \frac{2 ^{15} \cdot 5 ^{6} \cdot 3 ^{3} \cdot 4 π}{3}

Cancel the common factor:

3

= 2^{15} \cdot 5^{6} \cdot 3^{2} \cdot 4 π

2^{15} = 32768

= 5^{6} \cdot 3^{2} \cdot 32768 \cdot 4 π

5^{6} = 15625

= 3^{2} \cdot 32768 \cdot 15625 \cdot 4 π

3^{2} = 9

= 32768 \cdot 15625 \cdot 9 \cdot 4 π

Multiply the numbers:

32768 \cdot 15625 \cdot 9 \cdot 4 = 18432000000

= 18432000000 π

- 7 < 9 + 2 x < 5

x^{5} + x^{4} - 11 x^{3} - 9 x^{2} + 18 x

7 \frac{n}{3} - 9 < 12

\frac{100 ( 50304 )}{1394969}

- 5 y - 25 = - 40