6029977
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

The volume of this right circular cylinder is 64π cubic yards. If h, the height of the cylinder, is 4 yards, what is r, the radius of the base?

Sagot :

4030859

Answer:

h = 4 cm

Step-by-step explanation:

The formula for volume of a cylinder is

V = πr²h      where V is the volume, r is the radius, and h is the height.

We are given V = 64π, and r = 4, plug those in and solve for h

64π = π(4²)h

64π = 16πh

(64π)/(16π) = (16πh)/(16π)      (divide both sides by 16π)

4 = (16π)/(16π)h

 4 = h

ⲊⲧɑⲅⲊⲏɑᴅⲟᏇ

Answer:

  • Radius = 4 yards

Solution:

Here, we are provided a right circular cylinder with :

  • Volume = 64 π cubic yards
  • Height = 4 yards
  • Radius = ?

We know that :

[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}[/tex]

Therefore,

[tex] \implies\quad \sf{V = \pi r^2 h }[/tex]

[tex] \implies\quad \sf{64\pi = \pi r^2 \times 4 }[/tex]

[tex] \implies\quad \sf{ \pi r^2 \times 4 = 64\pi}[/tex]

[tex] \implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }[/tex]

[tex] \implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}[/tex]

[tex] \implies\quad \sf{ r^2 = 16}[/tex]

[tex] \implies\quad \sf{r=\sqrt{16} }[/tex]

[tex] \implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.