What is the volume, in cubic millimeters, of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

V cylinder = pi r squared h. V sphere = four-thirds pi r cubed.

A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 6 millimeters.

The volume is 435.41mm³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder and a sphere

To solve for the volume of the composite figure let us understand that the figure consists of a cylinder and half sphere.

Given data

Radius r cylinder/cone= 4mm

Height of cylinder h= 6mm

1. Let's solve for the volume of the cylinder

V =πr²h

V= 3.14*(4²)*6

V= 3.14*16*6

V= 301.44mm³

2.Let us solve for the volume of the cone

V= 4/3πr³

V= (4/3)*3.14*4³

V= (4/3)*3.14*64

V=803.84/3

V= 267.95mm³

But the composite consists of half of the cone

V= 267.95/2= 133.97mm³

Hence the total volume of the composite is 301.44mm³+133.97mm³

435.41mm³

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.