Question

The diameter of the base of a cylinder is 0.4 and its height is 3/4 of its base radius. Find the volume of the cylinder, giving your answer in litres

Answer 1

Answer:

0.0942

Step-by-step explanation:

height = 3/4 * 0.2

= 3/20

volume of cyclinder = πr^2h

= 3.14 × 0.2 × 0.2 * 3/20

= 0.0942 units

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

The diameter of the base of a cylinder is 0.4 and its height is 3/4 of its base radius. Find the volume of the cylinder .

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{Given}}}}$

• The diameter of the base of a cylinder is 0.4
• height is 3/4 of its base radius

$\Large{\underline{\mathfrak{\bf{Find}}}}$

• The volume of the cylinder

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Given here, 0.4 is Diameter of the base of a cylinder .

So, Radius of the base of cylinder will be = 0.4/2 = 0.2

And,

( height is 3/4 of its base radius )

$\mapsto\sf{\:Height_{cylinder}\:=\:radius_{base}\times \dfrac{3}{4}} \\ \\ \mapsto\sf{\:Height_{cylinder}\:=\:0.2\times \dfrac{3}{4}} \\ \\ \mapsto\sf{\:Height_{cyclinder}\:=\:\dfrac{3}{20}} \\ \\ \Large{\underline{\mathfrak{\bf{Volume\:of\:cylinder}}}} \\ \\ \small{\boxed{\sf{\:volume_{cylinder}\:=\:\pi\:.(radius_{base})^2.\:height}}} \\ \\ \mapsto\sf{\:volume_{cylinder}\:=\:\dfrac{22}{7}\times 0.2^2\times \dfrac{3}{4}} \\ \\ \mapsto\sf{\:volume_{cylinder}\:=\:\dfrac{66}{4\times 7}\times 0.04} \\ \\ \mapsto\sf{\:volume_{cylinder}\:=\:\dfrac{66}{700}} \\ \\ \mapsto\pink{\sf{\:volume_{cylinder}\:=\:0.094\:\:unit^3}}$