Surface Area and Volumes [IMO Level 1- Mathematics Olympiad (SOF) Class 9]: Questions 53 - 57 of 105

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Question 53

Question MCQ▾

A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls. The diameter of two of these is 1.5 cm and 2 cm respectively. The radius of the third ball is________.

Choices

Choice (4)Response

a.

2.66 cm

b.

3 cm

c.

3.5 cm

d.

2.5 cm

Edit

Question 54

Question MCQ▾

ABC is triangle in which BE, CF are medians. If , and , then the area of is________

Given the ABC is Triangle in Which be, CF Are Medians

Choices

Choice (4)Response

a.

240

b.

120

c.

102

d.

360

Edit

Question 55

Question MCQ▾

The area of a quadrilateral JKLM, in which , is an equilateral triangles of side 20 cm and is________.

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 56

Question MCQ▾

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 20 cm, and its base is of radius 7.5 cm, find the total surface area of the article.

Image Shows the Wooden Article

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 57

Question MCQ▾

A triangle and a parallelogram are equal in area. They also have the same altitudes. If the base of the triangle is 24 inches, the base of the parallelogram is ________

Choices

Choice (4)Response

a.

18 inches

b.

12 inches

c.

15 inches

d.

14 inches

Edit