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2. Find the volume of the storage container shown. Round to the nearest tenth.

4. George and Mindy are playing with a ball that has a diameter of 38 centimeters. What is the volume of the ball? Round to the nearest tenth.

Needed ASAP. Will give 20 points and Brainliest!

2 Find The Volume Of The Storage Container Shown Round To The Nearest Tenth 4 George And Mindy Are Playing With A Ball That Has A Diameter Of 38 Centimeters Wha class=

Sagot :

Step-by-step explanation:

2. The storage container is in the shape of a right circular cylinder with a diameter of 15 in and 10 in high. A right circular cylinder is considered a cylinder with circular bases with the axis of the cylinder being perpendicular (forms [tex]90^{\circ}[/tex]) with the base.

The volume of a right circular cylinder is evaluated following the formula

                                                    [tex]V \ = \ \pi r^{2}h[/tex],

where [tex]V[/tex] denotes volume, [tex]r[/tex] is the radius of the circular base and [tex]h[/tex] is the height of the cylinder.

Plugging the given values into the formula and let [tex]\pi \ = \ 3.1415[/tex],

                                         [tex]V \ = \ (3.1415)\left(\displaystyle\frac{15}{2}\right)^{2}(10) \\ \\ V \ = \ 1767.1 \ \ \text{in}^3 \ \ \ \ \ \ (\text{nearest tenth})[/tex].

3. The ball is the shape of the sphere in which the volume is determined by the formula

                                                     [tex]V \ = \ \displaystyle\frac{4}{3}\pi r ^{3}[/tex].

Therefore,

                                             [tex]V \ = \ \displaystyle\frac{4}{3}(3.1415)\left(\displaystyle\frac{38}{2}\right)^{3} \\ \\ V \ = \ 28730.1 \ \text{cm}^{3} \ \ \ \ \ (\text{nearest tenth})[/tex]

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