Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
Hello! Expanded form is when you write an addition problem by place value in order to get the sum for the answer. For example, expanded form of 123 is 100 + 20 + 3. In this case, 92.3 is out number we are going to expand in addition form. 92.3 in expanded form is 90 + 2 + 0.3. This is because 9 in the tens place has a value of 90, the 2 in the ones place has a value of 2, and the value of 3 in the tenths place has a value of 0.3.
