Volumes Practice Test 3

Question : 26 of 40

Marks: +1, -0

A solid cylindrical block of radius 12 cm and height 18 cm is mounted with a conical block of radius 12 cm and height 5 cm. What is the total lateral surface area of the solid thus formed?

$2321 5/7 cm^2$
$2457 5/7 cm^2$
$2300 4/7 cm^2$
$1821 5/7 cm^2$

Validate

Solution:

Slant height of cone, l =

√{12^2+5^2}

= 13 cm
Total lateral surface area of the solid
= Curved surface area of cone and cylinder + surface area of bottom
= πrl + 2πrh +

πr^2

= πr (l + 2h + r) =

{22}/7

× 12 (13 + 2 × 18 + 12)
=

{22}/7

× 12 × 61 =

{16104}/{7}

= 2300

4/7 m^2

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