Cylinder A has the volume 8π cm^3 and the height 2 cm. Cylinder B is a similar shape with a volume of 216 cm^3. i) find the linear scale factor. ii) find the surface area of cylinder B

i) Linear scale factor cubed = volume scale factor = VB/VA = 216π/8π = 27 LSF3 =27 LSF = 3 ii) SAB= 2πrB2 + 2πrBHB Find H and r for B HB= LSF*HA= 6 cm VB= πrB2HB= 216π = πrB26 => rB= sqrt(VB/πHB) =6cm rB=6cm HB=6cm sub in to SA equation SAB= 2πrB2 + 2πrBHB= 2π62+2π66 = 144π cm2 SAB = 144π cm2

Answered by Jacob K. Maths tutor

3150 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand and simplify (x-7)^2


Solve 6x^2+8x-8 = 0 using factorisation.


Make x the subject of the following formula: 2x-4=2y.


Simplify (14y^2)/y + 5y x 2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences