Question

from a solid cylinder of height 20cm and diameter 12cm a conical cavity of height 8cm and radius 6cm is hollowed out.find the TSA of remaining solid

Answer 1

Answer:

Total surface area of remaining solid is 1055.04 centimeter square.

Step-by-step explanation:

Given : From a solid cylinder of height 20cm and diameter 12cm a conical cavity of height 8cm and radius 6cm is hollowed out.

To find : The TSA of remaining solid?

Solution :

Height of cylinder h=20 cm

Diameter of cylinder = 12cm

Radius of the cylinder = 6 cm

Height of cone H=8 cm

Radius of cone R=6 cm

Lateral height of the cone is

$l=\sqrt{H^2+R^2}\\l=\sqrt{8^2+6^2}\\l=\sqrt{64+36}\\l=\sqrt{100}\\l=10$

Area of remaining solid =CSA of cylinder+ Area of base of cylinder + CSA of cone

$A=2\pi rh+\pi r^2+\pi Rl$

$A=\pi(2\times 6\times 20+6^2+6\times10$

$A=\pi(240+36+60)$

$A=(3.14)(336)$

$A=1055.04cm^2$

Therefore, Total surface area of remaining solid is 1055.04 centimeter square.

Answer 2

Answer:

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