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 |
Question 54
Question MCQ▾
ABC is triangle in which BE, CF are medians. If , and , then the area of is________
Choices
Choice (4) | Response | |
---|---|---|
a. | 240 | |
b. | 120 | |
c. | 102 | |
d. | 360 |
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. |
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.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
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 |