Question

the ratio of a curved surface area and the total surface area of a circular cylinder is 1 ratio 2 and the total surface area is 616 CM square find its volume​

Answer 1

Answer:

your answer is in the attachment you can see it there

Answer 2

Volume  of cylinder=$1078cm^3$

Step-by-step explanation:

Ratio of curved surface area and the total surface area of a circular cylinder=$\frac{1}{2}$

We know that

Curved surface area =$2\pi rh$

Total surface area of a circular cylinder=$2\pi r(r+h)$

According to question

$\frac{2\pi rh}{2\pi r(r+h)}=\frac{1}{2}$

$\frac{h}{r+h}=\frac{1}{2}$

$2h=r+h$

$2h-h=r$

$h=r$

Substitute the values

Total surface area of cylinder=$2\times \frac{22}{7}\times r(r+r)=\frac{88r^2}{7}$

$\frac{88r^2}{7}=616$

$r^2=\frac{616\times 7}{88}=49$

$r=\sqrt{49}=7 cm$

Radius of cylinder=r=7 cm

Height of cylinder=h=7 cm

Volume of cylinder=$\pi r^2h$

Using $\pi=\frac{22}{7}$

Using the formula

Volume o cylinder=$\frac{22}{7}\times (7)^2\times 7=1078 cm^3$

Volume  of cylinder=$1078cm^3$

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