Question

The 2nd number in the code is the number in the ones place of the smaller cone. what is that number?

Answer 1

Given:

Cone 1:

Diameter, d = 7 cm

Height, h = 9 cm

Radius, r = diameter ÷ 2 = 7 ÷ 2 = 3.5 cm

Cone 2:

radius, r = 4cm

Height, h = 7 cm

To find the volume of each cone, apply the formula:

`V=(1)/(3)\pi r^2h`

Volume of Cone 1:

`\begin{gathered} V=(1)/(3)\pi*3.5^2*9 \\ \\ V=1.0472*12.25*9 \\ \\ V=115.45cm^3 \end{gathered}`

Volume of Cone 2:

`\begin{gathered} V=(1)/(3)\pi*4^2*7 \\ \\ V=1.0472*16*7 \\ \\ V=117.29cm^3 \end{gathered}`

Thus, we have:

Volume of cone 1 = 115.45 cubic centimeter

Volume of cone 2 = 117.29 cubic centimeter

We can see that volume of cone 1 is smaller than the volume of cone 2. Therefore, cone 1 is the smaller cone.

The number in the ones place is the number before the decimal point.

Given the volumme of the smaller cone:

115.45

The number in the ones place is 5

Therefore,