VOLUME WITH PRISMS! Aubrey decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.3 cm and its circumference as 14.9 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.

Respuesta :

The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].

Volume of cup by rounding off nearest tenth = 146.4 [tex]cm^{3}[/tex].

What is volume of Cylinder?

The volume V of a cylinder with radius r is the area of the base B times the height h .

V=Bh  or  V=π[tex]r^{2}[/tex]h

It is given that,

height= 8.3 cm

Circumference = 14.9 cm

By using the circumference we first find the radius of circular base or top,

Circumference of the circle = 2πr

14.9= 2 x  3.14 x r

14.9= 6.28 x r

r= [tex]\frac{14.9}{6.28}[/tex]

r= 2.37 cm

Hence, the radius of the circle is 2.37 cm.

Volume of cup( cylindrical shape ) = π[tex]r^{2}[/tex]h

                                                         = 3.14 x 2.37 x 2.37 x 8.3

                                                         = 26.062 x 5.616

                                                         = 146.364 [tex]cm^{3}[/tex]

                                                         = 146.4 [tex]cm^{3}[/tex] (nearest tenth)

The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].

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