Question

the curved surface area of cylinder is 264 and volume is 924 find dianeter and height of it​

Answer 1

Answer:

diameter = 14

height = 6

Step-by-step explanation:

curved surface area of cylinder = 2πrh = 264

$2\pi \: rh = 264 \\ rh = \frac{264 \times 7}{22 \times 2} \\ rh = \frac{12 \times 7}{2} \\ rh = 6 \times 7 \\ rh = 42 \\ r = \frac{42}{h}$

Volume of cylinder = πr^2h = 924

radius of cylinder = 42/h

$\pi {r}^{2} h = 924 \\ \frac{22}{7} \times {( \frac{42}{h}) }^{2} \times h = 924 \\ \frac{22}{7} \times \frac{42}{h} \times \frac{42}{h} \times h = 924 \\ 22 \times 6 \times \frac{42}{h} = 924 \\ 22 \times 6 \times 42 = 924 \times h \\ h = \frac{22 \times 6 \times 42}{924} \\ h = \frac{924 \times 6}{924} \\ h = 6 \\ \\ r = \frac{42}{h} \\ r = \frac{42}{6} \\ r = 7$

diameter = 2 × r

= 2 × 7

= 14

height = 6

hope you get your answer