How many pairs of while numbers have the sun of 110?

from right circular cylinder with height 10 cm and radius of base 6 CM a right circular cone of the same height and base is remo

djyliett [7]

Answer:

753.98 cubic cm.

Step-by-step explanation:

We have been given that from right circular cylinder with height 10 cm and radius of base 6 cm, a right circular cone of the same height and base is removed.

To find the area of remaining solid we will subtract volume of cone from volume of cylinder.

$\text{Volume of remaining solid}=\text{Volume of cylinder- Volume of cone}$

$\text{Volume of remaining solid}=\pi r^{2} h- \frac{1}{3}\pi r^{2}h$

$\text{Volume of remaining solid}=\frac{3}{3}\pi r^{2} h- \frac{1}{3}\pi r^{2}h$

$\text{Volume of remaining solid}=\frac{2}{3}\pi r^{2} h$

Upon substituting our given values in the formula we will get,

$\text{Volume of remaining solid}=\frac{2}{3}\pi*6^{2}*10$

$\text{Volume of remaining solid}=\frac{2}{3}\pi*36*10$

$\text{Volume of remaining solid}=2*\pi*12*10$

$\text{Volume of remaining solid}=240\pi$

$\text{Volume of remaining solid}=753.9822368615503772\approx 753.98$

Therefore, the volume of remaining solid is 753.98 cubic cm.

7 0

3 years ago

Alma bought 6 gallons of gasoline for $19.14. What was the unit price of this gasoline?

Mnenie [13.5K]

Answer:

3.19

Step-by-step explanation:

5 0

3 years ago

Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)

vfiekz [6]

Answer:

Step-by-step explanation:

given a point $(x_0,y_0)$ the equation of a line with slope m that passes through the given point is

$y-y_0 = m(x-x_0)$ or equivalently

$y = mx+(y_0-mx_0)$ .

Recall that a line of the form $y=mx+b$ , the y intercept is b and the x intercept is $\frac{-b}{m}$ .

So, in our case, the y intercept is $(y_0-mx_0)$ and the x intercept is $\frac{mx_0-y_0}{m}$ .

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph $(x_0,\frac{1}{x_0})$ . Which means that $y_0=\frac{1}{x_0}$