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# Surface Areas and Volumes

10th Class - CBSE - Mathematics - 1288 Questions - 0 Concepts

#### Important Questions

Q1 Subjective Hard
Derive the formula for the curved surface area and total surface area of the frustum of a cone.

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q2 Subjective Hard
A golf ball has diameter equal to $4.2cm$. Its surface has $200$ dimples each of radius $2mm$. Calculate the total surface area which is exposed to the surroundings assuming that the dimples are hemispherical.

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q3 Subjective Hard
A tent is of the shape of a right circular cylinder upto a height of $3$ metres and then becomes a right circular cone with a maximum height of $13.5$ metres above the ground. Calculate the cost of painting the inner side of the tent at the rate of Rs. $2$ per square metre, if the radius of the base is $14$ metres.

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q4 Single Correct Hard
A tent is in the form of a cylinder of diameter $15m$ and height $2.4 m$, surmounted by a cone of same base and height $4 m$. Find the cost of the canvas at Rs. $50$ per square meter. (Take $\pi$ = $\dfrac{22}{7}$)
• A. $\ Rs. 15765$
• B. $\ Rs. 15875$
• C. $\ Rs. 15775$
• D. $\ Rs. 15675$

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q5 Subjective Hard
A tent of height $8.25m$ is in the form of a right circular cylinder with diameter of base $30m$ and height $5.5m$, surmounted by a right circular cone of the same base. Find the cost of the canvas of the tent at the rate of Rs. $45$ per ${m}^{2}$

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q6 Subjective Hard
A frustum of a cone is $9cm$ thick and the diameters of its circular ends are $28cm$ and $4cm$. Find the volume and lateral surface area of the frustum. (Take $\pi=22/7$)

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q7 Subjective Hard
A container open at the top, is in the form of a frustum of a cone of height $24cm$ with radii of its lower and upper circular ends as $8cm$ and $20cm$ respectively. Find the cost of milk which can completely fill the container at the rate of Rs. $21$ per litre. (Use $\pi=22/7$)

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q8 Subjective Hard
A toy is in the form of a cone mounted on a hemisphere with the same radius. The diameter of the base of the conical portion is $6cm$ and its height is $4cm$. Determine the surface area of the toy. (Use $\pi=3.14$)

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q9 Subjective Hard
The radii of the ends of a frustum of a right circular cone are $5$ metres and $8$ metres and its lateral height is $5$ metres. Find the lateral surface and volume of the frustum.

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Q10 Subjective Hard
A toy is in the form of a cone mounted on a hemisphere of radius $3.5cm$. The total height of the toy is $15.5cm$, find the total surface area and volume of the toy.

Asked in: Mathematics - Surface Areas and Volumes

1 Verified Answer | Published on 07th 09, 2020

Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65