Answer:
length=8 , wide=5
Step-by-step explanation:
Let length=x and wide=y
convert the question into two equations
3+y=x .......1
xy=40 .......2
so we need to substitute x into y or y into x
x=3+y ,
(3+y)y=40
y²+3y=40
y²+3y-40=0
from that use calculator or manually factorise it
(y+8)(y-5)=0
y= –8 , y=5
we need to choose positive answer so y=5
then find for x
5x=40
x=8
Answer:
<h3>The radius is 7 cm</h3>
Step-by-step explanation:
Volume of a sphere is given by

where r is the radius
From the question V = 1436 cm³

Multiply through by 3
We have

Divide both sides by 4π


Find the cube root of both sides
![r = \sqrt[3]{ \frac{1077}{\pi} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B1077%7D%7B%5Cpi%7D%20%7D%20)
r = 6.99
We have the final answer as
<h3>r = 7cm</h3>
Hope this helps
You will need. 1- to fit the rectangle tile in
Given:
Volume of a sphere is
times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is
times the surface area.


Multiply both sides by 3.



Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:


Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.