en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4/3 pi(15)^3

Solution

simplify

\frac{4}{3} π (15)^{3}

Solution

4500 π

+1

Decimal Notation

14137.16694 \dots

Solution steps

\frac{4}{3} π 1 5^{3}

Multiply fractions:

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

= \frac{4 π 1 5 ^{3}}{3}

Factor

1 5^{3} : 3^{3} \cdot 5^{3}

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

Cancel the common factor:

3

= 5^{3} \cdot 3^{2} \cdot 4 π

5^{3} = 125

= 3^{2} \cdot 125 \cdot 4 π

3^{2} = 9

= 125 \cdot 9 \cdot 4 π

Multiply the numbers:

125 \cdot 9 \cdot 4 = 4500

= 4500 π

Popular Examples

simplify (-0.12)^2 simplify

(- 0.12)^{2}

simplify (x/z)^{-4}simplify

(\frac{x}{z})^{- 4}

factor x^3+x^2-12x+12 factor

x^{3} + x^{2} - 12 x + 12

factor x^3+3x^2-2x-4 factor

x^{3} + 3 x^{2} - 2 x - 4

simplify (e^{0.001}-1)/(0.001)simplify

\frac{e ^{0.001} - 1}{0.001}

Frequently Asked Questions (FAQ)

What is 4/3 pi(15)^3 ?
The solution to 4/3 pi(15)^3 is 4500pi