Question

MATLAB Questions. I have a basic understanding of the tools for MATLAB, but do not know how to create the code for these questions. Please show the entire code.

2. A paper cup shaped as a frustum of cone with R-14R1 is designed to have a volume of 25 cm Determine R1, R2 and the surface area, S, of the paper for cups with a height, h, of 1O cm. The volume of the cup, V, and the surface area of the paper are given by: The program should ask the user to input the value for the height and display the result in the following format (two fprintf statements are needed, with a line break): The frustum of the cone with volume XXXX cubic centimeters Has radii values of R1 and R2 equal to XXX.XX and XXX.XX, respectively. Also, the surface area is XXX squared centimeters.

Answer 1

As per the HomeworkLib policy on multiple questions, answer to question (2) is being given here:

From the given relation:

The corresponding MATLAB script is as the following:

%==============================================

clc;
clear all;

h = input('Please provide the height : ');

% Given data:
V = 25;

R1 = sqrt((3*V)/(pi*h*4.36));
R2 = 1.4*R1;

S = (pi*(R1+R2)*sqrt((R1-R2)^2 + h^2)) + pi*R1^2;

fprintf('The frustum of the cone with volume %d cubic centimeters ',V);
fprintf('Has radii values of R1 and R2 equal to %.3f and %.3f respectively. Also, the surface area is %.3f squared centimeters ',R1,R2,S);

%==============================================

Sample run:

Please provide the height : 10
The frustum of the cone with volume 25 cubic centimeters
Has radii values of R1 and R2 equal to 0.740 and 1.036 respectively. Also, the surface area is 57.537 squared centimeters