35 + 28 = 63
100 - 63 = 37 pieces left for Carol to find.
Answer:
k = 7
Step-by-step explanation:
given y varies jointly with x and w then the equation relating them is
y = kxw ← k is the constant of variation
to find k use the condition when y = - 42, x = 2 and w = - 3 , then
- 42 = k × 2 × - 3
- 42 = - 6k ( divide both sides by - 6 )
7 = k
constant of variation is k = 7
Answer:
42.2 cubic inch
Step-by-step explanation:
Applying,
V = πr²h/3.................... Equation 1
Where, r = radius of the circular base, h = height of the cone, π = pie.
But,
r = P/2π..................... Equation 2
Where P = circumference of the circular base.
Substitute equation 2 into equation 1
V = π(P/2π)²(h)/3
V = P²h/12π.................. Equation 3
From the question,
Given: h = 18.4 in, P = 9.3 in
Constant: π = 3.14
Substitute these values into equation 3
V = (9.3²)(18.4)/(12×3.14)
V = 42.2 cubic inch
