The radius and height of a cone are in the ratio 3:4 . If its volume is 301.44 cm^3 , what is its radius ? what is its slant height ?

Answers (1)

Solution:  Let the radius r and slant height h of the cone be 3x  cm and 4x cm respectively . 

               Then , 

                         Volume =301. 44cm^3

Rightarrow                     frac13pi r^2h=301.44 cm^3

Rightarrow                     frac13	imes 3.14	imes3x 	imes 3x 	imes 4x =301.44

Rightarrow                    x^3=frac301.443	imes4	imes3.14Rightarrow x^3=frac301.4437.68Rightarrow x=2

	herefore                   r=radius =3x=6cm      and   h=height =4x=8cm

Now , slant height =sqrtr^2+h^2cm=sqrt36+64=10cm

Most Viewed Questions

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions