Question

A cone has slanted height of 5cm and height of 4cm, its volume (in cm³) is __________

• A. 25.13 cm³
• B. 37.71 cm³
• C. 100.53 cm³
• D. 75.40 cm³

Answer 1

Answer:

B. 37.71 cm³

$l=\sqrt{h^2+r^2}$

$r=\sqrt{l^2-h^2}$

$=\sqrt{5^2-4^2}$

$=\sqrt{25-16}$

$=\sqrt{9}$

$=3$

$Volume=1/3\times\pi{r^2}\times{h}$

$=1/3\times\pi\times3^2\times4$

$=1/3\times22/7\times9\times4$

$=37.71cm^3$