Question Sheet 1 a Solution

Question Sheet 1 – A Solution

Q1. {Algorithm to count #a and #e in text input} READ character

number_a  0 number_e  0

WHILE ( character != ‘z’ )

IF ( character = ‘a’ ) THEN number_a  number_a + 1 ENDIF

IF ( character = ‘e’ ) THEN number_e  number_e + 1 ENDIF

READ character

ENDWHILE

PRINT “Number of a = “, number_a PRINT “Number of e = “, number_e Q2. {Algorithm to write out numbers in expanded form} PRINT “Input a number” READ number

WHILE ( number != 0 )

FOR ( duplicate FROM 1 TO number ) PRINT number ENDFOR

PRINT “Input another number” READ number

ENDWHILE

number total value PRINT - - - READ 5 - -  5 1 - FOR 5 1 1  5 1 1 FOR 5 1 2  5 2 2 FOR 5 2 3  5 6 3 FOR 5 6 4  5 24 4 FOR 5 24 5  5 120 5 PRINT 5 120 6 1. Factorial 2. Result would always be 0 otherwise 3. Set iteration counter to 2 and not 1. Multiply by 1 is redundant.

(a) Module Name: calculate_volume_hemisphere Inputs: radius Outputs: hemisphere_volume Process:

{Calculate volume of a hemisphere using the radius}

hemisphere_volume  ( 2 * PI * radius3 ) / 3 RETURN hemisphere_volume

(b) Module Name: calculate_volume_cone Inputs: radius, height Outputs: cone_volume Process:

{Calculate volume of a cone using the radius and height} cone_volume  ( PI * radius2 * height ) / 3 RETURN cone_volume

Q3. (c)

{ Algorithm to calculate ice-cream cone volumes }

PRINT “Enter radius and height” READ radius, height

WHILE ( radius != 0 OR height != 0 ) total_volume  calculate_volume_hemisphere(radius) + calculate_volume_cone(radius,height) PRINT “Total Volume of Ice Cream is “, total_volume

PRINT “Enter another radius and height” READ radius, height

ENDWHILE