Iii. What is the volume of a cone if its radius is 2 cm and its height

1.	Iii. What is the volume of a cone if its radius is 2 cm and its height is 4 cm?
Answer» Answer: V = 16.76 cm^3 ★ GIVEN :- Radius of CONE is 2 cm Height of cone is 4 cm ★ To Find :- Volume of a cone ★ Diagram :- $\setlength{\unitlength}{30} \begin{picture}(10,6) \linethickness{1.2} \qbezier(1,1)(3., 0)(5,1)\qbezier(1,1)(3.,2)(5,1)\put(3,1){\circle{0.15}}\put(3,1){\line(0,1){3}}\qbezier(1,1)(1,1)(3,4)\qbezier(5,1)(3,4)(3,4)\put(3,1){\line(1,0){2}}\put(3.2,1.1){$ \bf 2 \: cm $}\put(1.9,1.9){$ \bf 4 \: cm $}\put(4,3.5){\boxed{ $ \bf @TheFairyTale $}}\end{picture}$ Step-by-step explanation:* The formula of volume of a cone, $\boxed{ \red{ \sf{V_{cone} = \dfrac{1}{3} \times \pi \: {r}^{2} \times h}}}$ Where, V = volume of cone r = radius of cone h = height of cone Putting the value of r and h, we GET, $\boxed{ \sf{V_{cone} = \dfrac{1}{3} \times \dfrac{22}{7} \times \: {2}^{2} \times 4}}$ $\implies \sf \dfrac{1}{3} \times \dfrac{22}{7} \times \: 4 \times 4$ $\implies \sf \: v = \dfrac{352}{21}$ $\implies \sf \: V_{cone} = 16.76 {cm}^{3}$

Iii. What is the volume of a cone if its radius is 2 cm and its height is 4 cm?

Answer»

Answer:

V = 16.76 cm^3

★ GIVEN :-

Radius of CONE is 2 cm
Height of cone is 4 cm

★ To Find :-

Volume of a cone

★ Diagram :-

$\setlength{\unitlength}{30} \begin{picture}(10,6) \linethickness{1.2} \qbezier(1,1)(3., 0)(5,1)\qbezier(1,1)(3.,2)(5,1)\put(3,1){\circle*{0.15}}\put(3,1){\line(0,1){3}}\qbezier(1,1)(1,1)(3,4)\qbezier(5,1)(3,4)(3,4)\put(3,1){\line(1,0){2}}\put(3.2,1.1){$ \bf 2 \: cm $}\put(1.9,1.9){$ \bf 4 \: cm $}\put(4,3.5){\boxed{ $ \bf @TheFairyTale $}}\end{picture}$