Question

The slant height of a frustum of a cone is 4 cm and the perimeters (circumferences) of its
circular ends are 18 cm and 6 cm. Find the curved surface area and the volume of the
frustum in terms of the given measurements. Are the curved surface area and the volume
of the frustum numerically equal ? Discuss its truthfullness.​

Answer 1

Answer:

CSA =48cm^2 & VOLUME =204.57cm^3

Step-by-step explanation:

pls refer below.....

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Answer 2

Given,

Slant height of frustum of cone (l) = 4 cm

Let ratio of the top and bottom circles be r1 and r2

And given perimeters of its circular ends as 18 cm and 6 cm

⟹ 2πr1 = 18 cm; 2πr2 = 6 cm

⟹ πr1= 9 cm and πr2 = 3 cm

We know that,

Curved surface area of frustum of a cone = π(r1 + r2)l

= (πr1+πr2)l = (9 + 3) × 4

 = (12) × 4 = 48 cm2

Therefore, the curved surface area of the frustum = 48 cm2.