# Mathematics-Surface Areas & Volumes [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 1 - 7 of 113

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## Question 1

### Question

MCQ▾A cylindrical rod whose height is 4 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be

### Choices

Choice (4) | Response | |
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a. | 12 | |

b. | 2 | |

c. | 6 | |

d. | 3 |

## Question 2

### Question

MCQ▾The cost of painting the TSA of cone at is Rs. 35.2. The volume of the cone its slant height being 50 cm is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 3

### Question

MCQ▾With a bucket of radius 14 cm and height 8 cm, 2 buckets of lime was poured to form a conical heap. If its area is , the canvas required to cover it is ________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 4

### Question

MCQ▾The lateral surface area of cylinder is and base area . Then its volume is ________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 5

### Question

MCQ▾With a bucket of radius 7 cm and height 4 cm, 4 buckets of lime was poured to form a conical heap. If its area is , the canvas required to cover it is ________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 6

### Question

MCQ▾From a circle of radius 30 cm a sector with angle is cut out and its bounding radii are bent so as to form a cone. Then its volume is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 7

### Question

MCQ▾The lateral surface area of a right circular cylinder with base diameter 28 cm and height 12 cm is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. | All of the above |