Question

The circumference of the base of the cone is 44√7 cm and its slant height is 28 cm. Find the volume of the cone. (ASAP)
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Answer 1

Volume of the cone = 2πrl

Taking π as 22/7

r = 28

l = 44√7

The volume = 2×22/7×28×44√7

                    =7744√7

Answer 2

The answer is 7542.75 cm³

GIVEN

The circumference of the base of the cone is 44√7 cm and its slant height is 28 cm

TO FIND

Find the volume of the cone.

SOLUTION

We can simply solve the above problem as follows;

It is given,

Circumference of base of cone = 44√7 cm

Formula to calculate circumfernce = 2πr

Therefore,

44√7 = 2 × (22/7) × r

$r = \frac{44 \sqrt{7} \times 7}{2 \times 22}$

= 7√7 cm

Volume of cone = πr²(h/3)

Where,

h = Altitute of cone.

Altitue can be calculated as;

h² = s² - r²

Where,

s = slant height

r = radius of cone

h = altitude

Therefore,

h² = 28² - (7√7)²

h² = 784 - 343

h² = 441

h = √441 = 21 cm

Putting the value of h in the fornula

Volume of cone = π × (7√7)² × (21/3)

= 7542.75 cm³

Hence, The answer is 7542.75 cm³

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