Mensuration Practice Test 3

Question : 38 of 40

Marks: +1, -0

Find the total curved surface area of a cone mounted on hemisphere with radius 10.4 cm and total height of both is 25.7 cm.

Solution:

Slant height of the cone =

√{(15.3)^2+(10.4)^2}

√{({153}/{10}(^2+({104}/{10})^2}

√{{23409+10816}/{100}}

√{{34225}/{100}}

{185}/{10}

= 18.5 cm
Curved surface area =

πrl + 2πr^2

= πr(l + 2r)
= π × 10.4[18.5 + 2(10.4)])
= π × 10.4 × 39.3
=

{22}/7 × 10.4 × 39.3

≈ 1,285

cm^2

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