Question

a toy is in the form of cone mounted on a cylinder of same radius 7 cm. if total height of the toy is 30cm.and heights of cone and cylinder are equal; then find the volume of the toy

Answer 1

Answer:

Volume is equal to 880 $cm^{3}$.

Step-by-step explanation:

Since, we have the information that a toy is in the form of cone mounted on a cylinder of same radius 7 cm. If total height of the toy is 30 cm and heights of cone and cylinder are equal then our aim is to find the volume of the toy.

So, let x be the height of cone which is equal to the height of cylinder.

Then we conclude that the volume is equal to:

Volume of the toy = 1/3 x 22/7 x 7 x 7 + 22/7 x 7 x 7 $cm^{3}$

⇒ Volume = 880 $cm^{3}$

Hence, our volume is equal to 880 $cm^{3}$.

Answer 2

Answer:

The total volume of cone = 3080 cm³

Step-by-step explanation:

Formula:-

Volume of cylinder = πr²h

Volume of cone = 1/3(πr²h)

r - radius and h - height

It is given that,

a toy is in the form of cone mounted on a cylinder of same radius 7 cm. if total height of the toy is 30cm.and heights of cone and cylinder are equal

To find the volume of cylinder

r = 7 cm and h = 30/2 = 15 cm

V₁ =  πr²h = 22/7 * 7 * 7 * 15 = 2310 cm³

To find the volume of cone

V₂ =  1/3(πr²h) = 1/3 * 22/7 * 7 * 7 * 15 = 770 cm³

Total volume of toy

V = V₁  +  V₂ = 2310 + 770 = 3080 cm³