The surface area of a sphere is 5544 cm-2- its diameter in cm-

Question

Toppr Admin · Accepted Answer

Correct option is A- -42-Let the radius of the sphere be -r- cm-160-Then- We know- the surface area of a sphere -4 -pi r-2-Then-4-pi r-2-5544-Rightarrow 4-times -dfrac-22-7-times r-2-5544-Rightarrow r-21- cm-Therefore- diameter- -d-2r-2-times 21-42- cm-

The surface area of a sphere is $$5544 cm^{2}$$, find its diameter in $$cm$$.

Correct option is A. $$42$$
Let the radius of the sphere be $$r$$ cm.
Then, We know, the surface area of a sphere $$=4 \pi r^2$$.
Then,
$$4\pi r^{2}=5544$$
$$\Rightarrow 4\times \dfrac{22}{7}\times r^{2}=5544$$
$$\Rightarrow r=21\, cm$$.

Therefore, diameter, $$d=2r=2\times 21=42\ cm$$.

The surface area of a sphere is $$5544 cm^{2}$$, find its diameter in $$cm$$.

Correct option is A. $$42$$Let the radius of the sphere be $$r$$ cm. Then, We know, the surface area of a sphere $$=4 \pi r^2$$.Then,$$4\pi r^{2}=5544$$$$\Rightarrow 4\times \dfrac{22}{7}\times r^{2}=5544$$$$\Rightarrow r=21\, cm$$.Therefore, diameter, $$d=2r=2\times 21=42\ cm$$.

Correct option is A. $$42$$
Let the radius of the sphere be $$r$$ cm.
Then, We know, the surface area of a sphere $$=4 \pi r^2$$.
Then,
$$4\pi r^{2}=5544$$
$$\Rightarrow 4\times \dfrac{22}{7}\times r^{2}=5544$$
$$\Rightarrow r=21\, cm$$.

Therefore, diameter, $$d=2r=2\times 21=42\ cm$$.