If x=2 and t=4, what is the value of 1/8 (x^3-4)(t^2+8)

Step-by-step explanation:

Put x = 2 and t = 4 to the expression (x³ - 4)(t² + 8):

(2³ - 4)(4² + 8) = (8 - 4)(16 + 8) = (4)(24) = 96

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