Question

A cylindrical rod has an outer curved surface area of 8800 cm² . If the length of the rod is 87 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is: (π=22/7)

• A. 18.84
• B. 17.93
• C. 16.24
• D. 16.09

Answer 1

Answer:

D. 16.09

Length of rod = 87 cm

Outer Curved surface area = 8800 cm²

Outer Curved surface area , S = $2\pi{r}h$

r is radius of the cylinder.

$S=2\pi{r}h=2\times{\frac{22}{7}}\times{r}\times{87}=8800$

$2\times{\frac{22}{7}}\times{r}=\frac{8800}{87}$

$r=16.09cm$