Answer:
452.448cm^3
Step-by-step explanation:
Given data
Height= 25cm
Diamter= 12cm
Radius= 6cm
The expression for the volume of a cone is given as
V= 1/3*πr^2h
Substitute
V= 1/3*3.142*6^2*25
V= 1/3*3.142*36*12
V= 1/3*1357.344
V=452.448cm^3
Hence the volume is 452.448cm^3
Answer:
It's False
Step-by-step explanation:
It does refer to whether the data measures what it claims to measure.
Hope i helped you!
Since the triangle is equilateral, all its angles are equal to 60°
AO is the bisector⇒∠OAD = 30°
AO is the hypotenuse, ∠OAD = 30°⇒
OD=5*2=10m
By the Pythagorean theorem




Answer: A)
m²
P.S. Hello from Russia and sorry for my bad english :^)
Answer:
C = 37.6991
Step-by-step explanation:
The equation for the circumference of a circle is given: C = π · d
where, d is the diameter of the circle.
Plug in the value of d = 12 and use the π button on the calculator.
C = π · 12
C = 37.6991
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s