Answer:
x=1
Step-by-step explanation:
3^ (3x+1) = 81
Rewrite 81 as a power of 3
3^4
3^ (3x+1) = 3^4
Since the bases are the same, the powers are the same
3x+1 =4
Subtract 1 from each side
3x+1-1 =4-1
3x=3
Divide by 3
3x/3 = 3/3
x =1
Answer: There are no solutions.
Step-by-step explanation: x - 5/3 = x - 3/5
x + -5/3 = x + -3/5
x + -5/3 - x = x + -3/5 - x
-5/3 = -3/5
-5/3 + 5/3 = -3/5 + 5/3
0 = 16/15
Answer:
1055.04 cm³
Step-by-step explanation:
Given that,
Height of a cylinder, h = 16 cm
Radius of the cylinder, r = 5 cm
The height of a cone, h' = 12 cm
The radius of a cone, r' = 4 cm
The volume of the cylinder will be :

The volume of a cone is given by :

Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³
Hence, the required answer is equal to 1055.04 cm³.