Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
4.3k views
in Surface Areas And Volumes by (65.5k points)

A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter \(\frac{1}{16}\)cm., find the length of the wire.

1 Answer

+1 vote
by (65.2k points)
selected by
 
Best answer

Height of a cone, h = 20 cm. 

Vertical angle = 60°

Diameter of frustum wire = \(\frac{1}{16}\)cm. 

(i) In ⊥∆AQC, ∠Q = 90°

(ii) In ⊥∆PRA, ∠R = 90°

Height of frustum, h = 10 cm. 

∴ Volume of metallic frustum, ABCD,

Let the length of wire which has diameter \(\frac{1}{16}\)cm be ‘x’ cm

∴ Length of wire = 7964.4 m

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...