BrinN609601 BrinN609601
  • 03-11-2022
  • Mathematics
contestada

the volume of a sphere is 12348 pi in ³ calculate the radius of the sphere

Respuesta :

YeniV372805 YeniV372805
  • 03-11-2022

The volume of a sphere is given by the expression:

[tex]V=\frac{4}{3}\pi\cdot r^3[/tex]

Where V is the volume and r is the radius of the sphere. Solve this expression for r and replace for the given values to find the radius of the sphere, this way:

[tex]\begin{gathered} V=\frac{4}{3}\pi\cdot r^3 \\ 12348\pi=\frac{4}{3}\pi\cdot r^3 \\ \frac{12348\pi}{\pi}\cdot\frac{3}{4}=r^3 \\ 9261=r^3 \\ r=\sqrt[3]{9261} \\ r=21 \end{gathered}[/tex]

The radius of the sphere is 21 inches.

Answer Link

Otras preguntas

We’re the argentine government actions a genocide?
Write the fraction or mixed number as a decimal. Use a bar to show a repeating decimal. 3/8
Which of the following statements is true about fungi? All fungi are pathogens are fungi are microscopic, All fungi are living organisms, all fungi have negativ
What is the least value of an ammeter Is it 1. 0.12. 0.103. 0.24. 0.5​
which statement best describes the significance of the magna carta​
a race car slows down to make a turn. If it has an initial velocity of 180 km/h [S] and accelerates at a rate of 8.2 m/s squared [N] for 3.2 s at what velocity
Please answer question 45
Whats the point of view in to kill a mockingbird.​
write 19% as a ratio
A small soda costs $0.45 and a large soda costs $0.65 35 sodas were sold for a total of $18.55. How many of each size soda were sold