Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
Height = 10 units
Radius = 10 units
Volume = π × 10² × 10
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Height = 10 units
Base = 10 units
Volume = 1/3 × π × 10² × 10
Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is
π × 10² × 10 - 1/3 × π × 10² × 10
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer:
The answer is c
Step-by-step explanation:
The middle line is in the same spot
Answer:
30 revolutions
Step-by-step explanation:
to calculate the revolution of the wheels in 66 metres we need to get the circumference
circumference = 2πr, r = radius (diameter divided by 2) but from the formula of circumference we ca rewrite it as πd= 3.14 x 70 = 219.8cm
next convert 66 metres to cm
100cm = 1m
x= 66m
cross multiply
x= 66m x100cm/1m= 6600cm
revolutions in 66metres = 6600cm/219.8cm = 30.0272975 ≅30 revolutions
