4(4x + 5)
4(4•7+5)
4(28+5)
4(33)
132
Answer:
b) d=rt
Step-by-step explanation:
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere
if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere
if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere
examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area
2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area
3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is < surface area
Answer: 4 m
Step-by-step explanation:
Let the amount each dimension was increased by be x.
Now we can set up a equation.
(2+x)(4+x) = 48
8 + 2x + 4x + x^2 = 48
x^2 + 6x - 40 = 0.
We can factor the left side of the equation.
(x+10)(x-4) = 0.
Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.
