Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
![r = \sqrt[3]{2025}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B2025%7D%20)
which would be 12.65148998... in.
Step-by-step explanation:
5x-7+3x+27=180
8x+20=180
8x=160
x=20°.
hope this helps you.
Answer:
D, B, C, A
Step-by-step explanation:
Solve the equations by combining like terms, isolating the variable, and dividing the equation by the coefficient of the variable.
Doing this, the first equation should be 2, the second equation should be -2, the third equation should be -1, and the last equation should be -6.
Then, we can order them.
The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.