Sarthaks Test
0 votes
3.1k views
in Mathematics by (7.9k points)

A hemispherical depression is cut from one face of a cubical wooden block of edge 21cm such that the diameter of hemisphere is equal to the edge of cube determine the volume and total surface area of the remaining block?

1 Answer

0 votes
by (13.1k points)
selected by
 
Best answer

Given edge of wooden block (a) = 21cm

Given diameter of hemisphere = edge of cube

Radius = 21/2 = 10.5cm

Volume of remaining block = volume of box – volume of hemisphere

Surface area of box = 6a2   ........(1)

Curved surface area of hemisphere = 2πr2   ..........(2)

Area of base of hemisphere = πr2

So remaining surface area of box = (1) – (2) + (3)

Remaining surface area of box = 2992.5cm2

Volume of remaining block = 6835.5cm3

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

...