Question

The total surface Area of hemisphere is 7392cm. Find its diameter.

Answer 1

Answer:

Diameter is 56cm

Step-by-step explanation:

total surface area of hemisphere

7392=3×pi×r^2

7392/3×pi=r^2

2464/pi=r^2

2464/22/7=r^2

2464×7/22=r^2

112×7=r^2

784=r^2

r=28cm

d=2r=2(28)=56cm

Answer 2

Given,

• The total surface area of the hemisphere = 7392 cm².

To find,

• The diameter of the hemisphere.

Solution,

The total surface area of the hemisphere is 7392 cm², then its diameter is 56 cm.

We can simply find the diameter of the hemisphere by using the formula of the total surface area of the hemisphere,

The total surface area of the hemisphere = 3πr²

                                                              7392 = 3πr²

                                                               7392 = 3* 22/7 * r²

                                                 7392 * 7/3/22 = r²

                                                                784 = r²

                                                               $\sqrt{784}$ = r

                                                                   28 = r

As we know that diameter is twice the radius, then

Diameter = 2 * radius

Diameter of the hemisphere = 2*28

                                                = 56 cm

∴ The diameter of the hemisphere is 56 cm.

Hence, the total surface area of the hemisphere is 7392 cm², then its diameter is 56 cm.