What is 3(4/3 pi(sqrt(15))^3) ?

The solution to 3(4/3 pi(sqrt(15))^3) is 60sqrt(15)pi

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simplify 3(4/3 pi(sqrt(15))^3)

simplify

3 (\frac{4}{3} π (15)^{3})

6015 π

Decimal Notation

730.04016 \dots

Solution steps

3 (\frac{4}{3} π (15)^{3})

(15)^{3} : 1 5^{\frac{3}{2}}

= 3 \cdot \frac{4}{3} π 1 5^{\frac{3}{2}}

Multiply fractions:

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

= \frac{4 \cdot 3 π 1 5 ^{\frac{3}{2}}}{3}

Cancel the common factor:

3

= 4 π 1 5^{\frac{3}{2}}

1 5^{\frac{3}{2}} = 1515

= 4 \cdot 1515 π

Multiply the numbers:

4 \cdot 15 = 60

= 6015 π

4 \cdot (1.66 \cdot 1 0^{- 27})

3 x^{2} e^{- 2 x}

e^{- s^{5} t} \cdot t

17 (3.6 \cdot 1 0^{- 12})

5 b^{- \frac{5}{2}}

What is 3(4/3 pi(sqrt(15))^3) ?
The solution to 3(4/3 pi(sqrt(15))^3) is 60sqrt(15)pi