The figure is made up of a cylinder and a hemisphere. to the nearest whole number, what is the approximate volume of this figure? use 3.14 to approximate π . enter your answer in the box. in.³ a 7 inch cylinder with a dome on top of it that has a 5 inch diameter

The approximate volume of the composite figure made of a cylinder and a hemisphere is 170 in.³

Solution:

Volumen of the composite figure: V=?

V=Vc+Vh

1. Volume of the cylinder: Vc

Vc=∏r^2h

Radius of the cylinder: r

Height of the cylinder: h=7 in

Diameter of the cylinder: d=5 in

r=d/2

Replacing d by 5 in in the formula above:

r=(5 in)/2

r=2.5 in

Replacing ∏ by 3.14, r by 2.5 in, and h by 7 in, in the formula of Vc:

Vc=∏r^2h

Vc=3.14(2.5 in)^2(7 in)

Vc=3.14(6.25 in^2)(7 in)

Vc= 137.375 in³

2. Volume of the hemisphere: Vh

Vh=(4∏/6)r^3

Radius of the hemisphere = Radius of the cylinder: r=2.5 in

Replacing ∏ by 3.14, and r by 2.5 in, in the formula of Vh:

Vh=(4(3.14)/6)(2.5 in)^3

Vh=(2.093)(15.625 in³)

Vh=32.708 in³

Then the volume of the composite figure is:

V=Vc+Vh

Replacing Vc by 137.375 in³ and Vh by 32.708 in³ in the formula above:

V=137.375 in³ + 32.708 in³

V=170.083 in³

Rounding to the nearest whole number:

V=170 in³

answer: d. $20

step-by-step explanation:

just took the test

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )