Question

the radius and height of a cylinder are in the ratio 7:2.if the volume of the cylinder is 6062364cmsq3.find the total surface area of the cylinder?​

Answer 1

formula for volume of cylinder =

$\pi {r}^{2} h$

let the height be 2x and radius be 7x

volume =

$\pi \times {49x}^{2} \times 2x \:$

$3.4 \times {98x}^{3} = 8316$

${x}^{3} = \frac{8316}{3.14 \times 98} = 27.024567cm$

X = 3cm

height = 6cm

radius = 21cm

formula for total surface area =

$= 2 \times \pi \times r \times h + 2\pi {r}^{2}$

$= 2\pi \: r \: (r + h)$

$= 2 \times 3.14 \times 21 \times 27$

$= 3560.76 {cm}^{2}$

answer...