Guys, again, you only have 100 points for you to answer my math word problem questions from my math homework package from The Hung Vuong Learning Centre Incorporated but please help me with 2 of the math word problem questions from my math homework package from The Hung Vuong Learning Centre Incorporated like immediately as soon as possible, please pay attention carefully in order to understand what I'm asking on The Brainly. :(

Like I really said, "Question #61. There's a cylinder and a cone that have the same radius. But the cone is half as tall as the cylinder. Can you explain how does the volume of the cylinder compares to the volume of the cone?

Question #62. A cylinder has a radius of 15 centimetres and a height of 30 centimetres. There's a sphere with a radius of 15 centimetres will be placed inside the cylinder. What is the volume of the part of the cylinder that remains? Please explain your own answer.

Plus, I need to get my math homework package from The Hung Vuong Learning Centre Incorporated as soon as possible, so please answer it faster without wasting your time, and also please don't post a very fake useless answer because it's a bad habit to do that, so anyways, good luck on answering 2 of the math word problem questions and I will check the answers to see if it’s appropriate. :)"

I hope you understand guys what I asked on The Brainly 2 hours ago. :)

Respuesta :

#61

Radius he r and height be h

  • r1=r2=r
  • 2h1=h2

[tex]\\ \tt\longmapsto \dfrac{v1}{v2}=\dfrac{\dfrac{1}{3}\pi r^2h}{\pi r^22h}[/tex]

  • Cancel πr^2

[tex]\\ \tt\longmapsto \dfrac{v1}{v2}=\dfrac{1/3}{2}[/tex]

[tex]\\ \tt\longmapsto v1:v2=1:6[/tex]

Cylinder has 6times more volume

#62

For cylinder

  • r=15cm
  • h=30cm

[tex]\\ \tt\longmapsto V=\pi r^2h=\pi 15^2(30)=225(30)\pi=6750\pi cm^3[/tex]

For sphere

  • r=15cm

[tex]\\ \tt\longmapsto V=\dfrac{4}{3}\pi r^3=\dfrac{4}{3}\pi 15^3=\dfrac{13500\pi }{3}=4500\pi cm^3[/tex]

  • Volume left=6750-4500=2250cm^3

Answer:

#61

Radius he r and height be h

r1=r2=r
2h1=h2


Cancel πr^2




Cylinder has 6times more volume

#62

For cylinder

r=15cm
h=30cm


For sphere

r=15cm


Volume left=6750-4500=2250cm^3

Step-by-step explanation: