If the curved surface of a right circular cylinder is $1760 c m^{2}$ and its radius is 21 cm, then its height is $\frac{80}{3} c m .$
True
False
Data insufficient
Ambiguous

Question

If the curved surface of a right circular cylinder is 1760 cm-2 and its radius is 21 cm- then its height is dfrac -80-3- cm-TrueFalseData insufficientAmbiguous

Toppr Admin · Accepted Answer

Formula for curved surface of a cylinder $= 2 π r h$
given radius $= 21 c m$
$2 (π) r h = 1760$
$2 \times \frac{22}{7} \times 21 \times h = 1760$
$2 \times 22 \times 3 \times h = 1760$
$h = \frac{1760}{44 \times 3}$
$h = \frac{40}{3} c m$
Hence the given statement is false.

If the curved surface of a right circular cylinder is 1760cm2 and its radius is 21 cm, then its height is 803cm.TrueFalseData insufficientAmbiguous

Formula for curved surface of a cylinder =2πrhgiven radius =21 cm2(π)rh=17602×227×21×h=17602×22×3×h=1760h=176044×3h=403 cmHence the given statement is false.

If the curved surface of a right circular cylinder is $1760 c m^{2}$ and its radius is 21 cm, then its height is $\frac{80}{3} c m .$
True
False
Data insufficient
Ambiguous

Formula for curved surface of a cylinder $= 2 π r h$
given radius $= 21 c m$
$2 (π) r h = 1760$
$2 \times \frac{22}{7} \times 21 \times h = 1760$
$2 \times 22 \times 3 \times h = 1760$
$h = \frac{1760}{44 \times 3}$
$h = \frac{40}{3} c m$
Hence the given statement is false.