What is 5(4/3 pi(sqrt(15))^3) ?

The solution to 5(4/3 pi(sqrt(15))^3) is 100sqrt(15)pi

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simplify 5(4/3 pi(sqrt(15))^3)

simplify

5 (\frac{4}{3} π (15)^{3})

10015 π

Decimal Notation

1216.73360 \dots

Solution steps

5 (\frac{4}{3} π (15)^{3})

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

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

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

= 5 \cdot 1515 π \frac{4}{3}

Multiply fractions:

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

= \frac{4 \cdot 5 π 15 15}{3}

Multiply the numbers:

4 \cdot 5 \cdot 15 = 300

= \frac{300 15 π}{3}

Divide the numbers:

\frac{300}{3} = 100

= 10015 π

π^{2} π^{2}

3.33 \cdot 1 0^{- 3} \cdot 500

(14 x^{12}) 27 x^{6}

8.52 \cdot 1 0^{- 5}

What is 5(4/3 pi(sqrt(15))^3) ?
The solution to 5(4/3 pi(sqrt(15))^3) is 100sqrt(15)pi