Question

ace area of the toy.
4. A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest
diameter the hemisphere can have? Find the surface area of the solid.​

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

4. A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest

diameter the hemisphere can have? Find the surface area of the solid.

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

⇒ TSA = 332. 465 cm²

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

The hemisphere is mounted on the cubical block

The diameter of the hemisphere = the side of the cube = 7cm

TSA of the solid = TSA of cube - Area of base of hemisphere + CSA of hemisphere

⇒ TSA = 6×7² - π×(3.5)² + 2×π×(3.5)²

⇒ TSA = 6×7² + π×(3.5)²

⇒ TSA = 332. 465 cm²

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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Answer 2

Answer:

335.5 sq

Step-by-step explanation:

The greatest diameter=side of the cube=7cm.

The radius of the hemisphere =3.5cm.

Now,

The Surface Area of Solid=Surface Area of Cube - Surface Area of Base Hemisphere + Curve Surface Area of Hemisphere

Surface Area of Cube

=6×side 2

=6×7×7

=294sq cm

Surface Area of Base of Hemisphere is,

=πr 2

= 7/22

×3.5/2

=38.5cm

2

Curved Surface Area of Hemisphere is,

=2×38.5

=77sq cm

∴ total Surface Area is =294−38.5+77

=332.5sq cm.