Answer:
Volume of water required to fill the pyramid is rd of the water required to fill the prism completely.
Step-by-step explanation:
Let Mr Jackson has an empty rectangular pyramid and rectangular prism.
Height and base of both are congruent.
So volume of rectangular pyramid
Volume of the rectangular prism = (Area of the base)(height)
[ Since ]
Therefore, amount of water required to fill the pyramid is rd of the water required to fill the prism completely.
Given that, a sphere has a surface area of about 999 square millimeters.
Formula to find the surface area of sphere is,
S= 4πr² Where r = radius of the sphere and S= surface area.
Given S= 999 square millimeters.
So, we can write:
4πr² = 999
4 * 3.14 * r² = 999 Since, π = 3.14
12.56 *r² = 999
Divide each sides by 12.56.
r² = 79.53821656
r = √79.53821656 Taking square root to each sides of equation.
r = 8.918420071
So, r = 8.918 Rounded to nearest thousandth.
So, radius of the sphere is 8.918 millimeters.
Hope this helps you!
Answer:
3x+4y-12=0
y intercept = -constant term/coefficient. of y
= 12/4
=3
Answer:
Step-by-step explanation:
1/4 x 20x - 1/4 x 28<2x - 6 + 2
5x - 28/4<2x - 4
5x - 2x<-4 + 28/4
3x<-4/1 + 28/4
3x<-16 + 28/4
3x<12/4
3x<3
3x/3<3/3
x<1