Question

the diameter of the base of a cone is 12cm and height js 20cm, then its volume is
a) 240pi cm cube
b) 480pi cm cube
c) 720pi cm cube
d) 960pi cm cube
please explain too
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Answer 1

Answer:

a) is your answer

Step-by-step explanation:

the formula is that multiply the breath and height then you will get your amswer

Answer 2

• (a) option is correct beacuse volume of cone is 250π cm³.

Step-by-step explanation:

Given:-

• Diameter of the base of cone is 12 cm.
• Height of cone is 20 cm.

To find:-

• Volume of cone.

Solution:-

We know that,

$\boxed{\star \: \sf \bold{Volume \: of \:cone = \cfrac{1}{3} \pi r^{2} h}}$

In which,

• r is Radius of cone.
• h is height of cone.

h = 20 cm.

r = $\sf \cfrac{Diameter}{2}$

= $\sf \cfrac{12}{2}$

= 6

r = 6 cm.

Put r and h in formula :

$\longrightarrow \sf \cfrac{1}{3} \times \pi \times (6)^{2} \times 20$

$\longrightarrow \sf \cfrac{1}{\cancel{3}} \times \pi \times \cancel {6} \times 6 \times 20$

$\longrightarrow \sf 2 \times 6 \times 20 \times \pi$

$\longrightarrow \sf 12 \times 20 \times \pi$

$\longrightarrow \sf 240 \pi$

Therefore,

Volume of cone is 250π cm³.