Question

The curved surface area of a cylinder is 625cm square and volume is 824cm cube. Find the diameter and height of the pole.
Please show full explanation.
​

Answer 1

Answer:

Given:-

⇢ The curved surface area of a cylinder is 625cm square and volume is 824cm cube.

ㅤ

Find:-

⇢ Find the diameter and height of the pole.

ㅤ ㅤ

Using formula:-

★ ${\sf{\underline{\boxed{\red{\sf{C.SA = 2 \pi rh}}}}}}$ ★

★ ${\sf{\underline{\boxed{\red{\sf{Volume \: of \:cylinder = \pi r^{2}h}}}}}}$ ★

ㅤ

Calculations:-

⇢ $\sf{2 \pi rh = 625 \: cm}$

⇢ $\sf{\pi r h = \dfrac{625}{2}}$ ---- Eq (1)

ㅤ

We know that,

⇢ Volume is given = 824 cube (³).

ㅤ

⇢ $\sf{\pi r^{2} h = 824}$

⇢ $\sf{\pi rh \times r = 824}$ ---- Eq (2)

ㅤ

Substitute values from above equation:-

⇢ $\sf{\dfrac{625}{2} \times r = 825}$

⇢ $\sf{\dfrac{824 \times 2}{625}}$

⇢ ${\boxed{\sf{2.64 \: cm}}}$

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Hence, 2.64 cm is the radius.

ㅤ

⇢ $\sf{2 \times 2.64}$

⇢ ${\boxed{\sf{5.28 \: cm}}}$

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Therefore, 5.28 is the diameter.

⇢ $\sf{\dfrac{625}{2 \times \pi \times 2.64}}$

⇢${\boxed{\sf{37.67 \: cm}}}$

ㅤ

Therefore, 37.67 cm is the pole.

Answer 2

What is your question?

1

kanwarpal88109

kanwarpal88109

1 week ago

Math

Secondary School

+5 pts

Answered

The curved surface area of a cylinder is 625cm square and volume is 824cm cube. Find the diameter and height of the pole.

Please show full explanation.

1

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Answer

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8

Brainly User

Answer:

Given:-

⇢ The curved surface area of a cylinder is 625cm square and volume is 824cm cube.

ㅤ

Find:-

⇢ Find the diameter and height of the pole.

ㅤ ㅤ

Using formula:-

★ ★

★ ★

ㅤ

Calculations:-

⇢

⇢ ---- Eq (1)

ㅤ

We know that,

⇢ Volume is given = 824 cube (³).

ㅤ

⇢

⇢ ---- Eq (2)

ㅤ

Substitute values from above equation:-

⇢

⇢

⇢

ㅤ

Hence, 2.64 cm is the radius.

ㅤ

⇢

⇢

ㅤ

Therefore, 5.28 is the diameter.

⇢

⇢

ㅤ

Therefore, 37.67 cm is the pole.