The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?

210

Step-by-step explanation:

According to this question, y varies directly with x. Mathematically, This means that:

y =kx

Where k is the constant variable

If y=30 and x=0.75, then k will be;

k = y/x

k = 30/0.75

k = 40

Since k = 40,

y = 40x

Therefore, when x=5.25, the value of y will be:

y = 40x

y = 40 × 5.25

y = 210.

The problem asked us to solve the volume of a cone. Given that the height is h=12 and has a base of D=5.7 inches in diameter. To solve this we use the equation:
V=pi(D/2)^2(h/3) substitutiing, the answer is 102.07in^3
After scaling up the answer is 344.49in^3. This answer was derived by multiplying each dimension with the scaling factor of 1.5 then using the equation above to solve the volume.