Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the volume of a right cone whose cross-section is an isosceles triangle with base 16 cm and __slant height__ 10 cm?

**A**

128 π sq. cm.

**B**

129 π sq. cm.

**C**

127 π sq. cm.

**D**

$43{2/3}$ π sq. cm.

**Soln.**

**Ans: a**

One of the right triangles of the isosceles triangle has its base = 16/2 = 8. By Pythagorean theorem, the height = $√{10^2 - 8^2}$ = $√{100 - 64}$ = 6. The radius of the base of the cone r = 8 cm, and height h = 6 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(8^2 × 6)$ = 128π.

### Question 2

What is the volume of a right cone whose cross-section is an isosceles triangle with base 30 cm and height 8 cm?

### Question 3

How much water flows per hour through a pipe of radius 2 cm, if water flows at 10 km/h?

### Question 4

What is the volume of a cone generated by rotating a right angled triangle with sides 17, 15 and 8 cm? The rotation is done about the side of length 8 cm.

### Question 5

What is the volume of rain water collected in a right cylindrical can of radius 8 cm, if 4 cm rainfall is recorded in the city?

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This Blog Post/Article "Volume and Surface Areas Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.