andrejr0330jr

05.02.2021 •

Mathematics

Ben collects state quarters. He has 40 out of the 50 available quarters. What is 40 out of 50 as a percent?

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Ответ:

ayoismeisjjjjuan

23.01.2020

Mathematics

Given:

Kiosk is the combination of a cylinder and a cone.

Diameter of cylinder and cone = 5 m

Height of the cylinder = 3 m

Height of the cone = 2 m

To find:

The volume of the kiosk.

Solution:

We know that the radius is half of the diameter. So,

Radius of cylinder and cone = $\dfrac{5}{2}$ m

= 2.5 m

Volume of the cylinder is:

$V_1=\pi r^2h$

Where, r is the radius and h is the height of the cylinder.

Putting $\pi =3.14, r=2.5, h=3$ in the above formula, we get

V_1=(3.14)(2.5)^2(3)

V_1=(3.14)(6.25)(3)

V_1=58.875

Volume of a cone is:

$V_2=\dfrac{1}{3}\pi r^2h$

Where, r is the radius and h is the height of the cone.

Putting $\pi =3.14, r=2.5, h=2$ in the above formula, we get

$V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)$

$V_2=\dfrac{1}{3}(3.14)(6.25)(2)$

$V_2\approx 13.083$

The volume of the kiosk is the sum of volume of cylinder and the volume of cone.

V=V_1+V_2

V=58.875+13.083

V=71.958

$V\approx 72$

Therefore, the volume of the kiosk is 72 cubic meter.

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