A solid shape is made by joining two cones. Each cone has the same radius. One cone has The other cone has slant height = 2x radius The total surface area of the shape is slant height = 3x radius 57.8 pi cm^ 2 Curved surface area of acone = pir l where r is the radius and I is the slant height Work out the radius. Each cone has the same radius.

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oeerivona oeerivona · Answer 1 · 2022-03-24T11:24:00+01:00

The given area of the shape of 57.8·π cm², and length of the slant sides

being a factor of the radius, gives the length of the radius as 3.4 cm.

Given;

Radius of the two cones are equal.

Slant height of one cone = 2 × Radius

Slant height of the other cone = 3 × Radius

Surface area of the shape = 57.8·π cm²

The curved surface area of a cone = π·r·l

Required:

The radius of the cone.

Solution;

Surface areas of the cones are therefore;

π·r × 2·r, and π·r × 3·r

The total surface area is therefore;

π·r × 2·r + π·r × 3·r = 57.8·π

5·r²·π = 57.8·π

Which gives;

r² = 57.8 ÷ 5 = 11.56

r = √(11.56) = 3.4

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