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

JK
Answered by Jacob K. Maths tutor

3545 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Robin and Emma both buy cupcakes for a bake sale. Between them, they purchase 125 cupcakes for the bake sale. Emma buys 50% more cupcakes then Robin and gets a 20% discount. The total cost of the 125 cupcakes was £137.5. What is the price of one cupcake?


What is standard form?


Solve the following simultaneous equations: x+y=9; x-2y+1=1.


Solve the simultaneous equation by elimination: 3x + y = 11 and 5x + y = 4


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences