You are going to solve this in such a quick, slick way
that you will blink and not believe it. Fasten your seat belt.
Here are the tools you'll need:
-- Volume of a cylinder = (pi) (radius)² (height)
-- Volume of a sphere = (4/3) (pi) (radius)³
Now ... the question says that your cylinder and your sphere
have the same volume. Fine ! So you can immediately write
an equation saying that their volumes are equal.
(pi) (radius)² (height) = (4/3) (pi) (radius)³
Divide each side by pi: (radius)² (height) = (4/3) (radius)³
Divide each side by (radius)² (height) = (4/3) (radius)
Fill in the given height: (6 cm) = (4/3) (radius)
Multiply each side by 3/4 : (6 cm) x (3/4) = radius
I'm pretty sure that you can take over now and find the radius.
Answer:
-4 square units
Step-by-step explanation:
a = l × b
x2 - 3x - 28 = (x +4)(×)
x2 - 3x - 28 = x2 + 4x
-3x - 28 - 4x = 0
-7x - 28 = 0
-7x = 28
x = -4
C) 2 students
Explanation
Take Monday’s amount and subtract Friday’s
3-1=2
Answer:
x=5 x=3
Step-by-step explanation:
x^2 – 8x + 15
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5 +-3 = -8
(x-5) (x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
Answer:
∠z is 79°
Step-by-step explanation: