Attempt this Mensuration Practice Question

Question of The Day12-07-2021

The Semi vertical angle of a cone is, θ = cos^-10.96. If the base radius of the cone is 7 cm, the what is the volume of the cone?

Answer

Correct Answer : a ) 1232 cm²

Explanation :

According to the question

The Semi vertical angle of a cone is θ = cos^-10.96

⇒cos θ = 0.96

⇒cos θ=\({96 \over 100}={24 \over 25}\)

We know that,

cos θ\({Base \over Hypotenuse}\)

⇒ Base (AD) = 24 units

⇒ Hypotenuse = 25 units

In △ADC (Using Pythagoras theorem)

AC² = AD² + DC²

⇒ 25² = 24² + DC²

⇒ DC = 7 units

⇒ Radius of the base of cone (DC) = 7 cm

⇒ 7 units = 7 cm

⇒ Height of the cone (24 units) = 24 cm

volume of cone=\({1 \over 3}\)*πr²h

⇒ Substituting the values

⇒\({1 \over 3}*{22 \over 7}*7*7*24\)

⇒ 1232 cm²

Hence, (a) is the correct answer.

0 LIKES

COMMENTS

Comments

Share QOTD

Current-Affairs

Attempt Daily Current
Affairs Quiz

Attempt Quiz

Nov 23

Word Of The Day

Palmy

Something that is flourishing or marked by prosperity

Abounding in or shaded with palms

"I have known her since her palmy days when she was living in Delhi."

Popular Blog

Paris Olympics 2024: Brief History of Olympics, Winners at Paris Olympics, Related Facts

Major Highlights of the Union Budget 2024-25

Highlights of Union Budget 2024-25

Major Highlights of the Interim Union Budget 2024-25

Highlights of Interim Budget 2024

150+ Paryayvachi Shabd in Hindi - पर्यायवाची शब्द

Daily Current Affairs and GK | 24 and 25 November 2024

Daily Current Affairs and GK | 23 November 2024

Daily Current Affairs and GK | 22 November 2024

Daily Current Affairs and GK | 21 November 2024

Daily Current Affairs and GK | 20 November 2024

Banking Awareness of 21, 22 and 23 November 2024

Banking Awareness of 19 and 20 November 2024

Banking Awareness of 16, 17 and 18 November 2024

Banking Awareness of 13, 14 and 15 November 2024

Banking Awareness of 10, 11 and 12 November 2024